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Finding the Fourth Proportional to 649,312.80, 973,969.20 and 649,312.80

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Solution

The fourth proportional to 649,312.80, 973,969.20 and 649,312.80 is: 973,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,312.80 : 973,969.20 = 649,312.80 : x
  2. Step 2: Convert to fraction form
    649,312.80/973,969.20 = 649,312.80/x
  3. Step 3: Cross multiply
    649,312.80x = 973,969.20 × 649,312.80
  4. Step 4: Simplify right side
    649,312.80x = 632,410,668,365.76
  5. Step 5: Solve for x
    x = 632,410,668,365.76/649,312.80
  6. Step 6: Final answer
    x = 973,969.20

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.