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Finding the Fourth Proportional to 649,200.20, 973,800.30 and 205,968.20

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Solution

The fourth proportional to 649,200.20, 973,800.30 and 205,968.20 is: 308,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,200.20 : 973,800.30 = 205,968.20 : x
  2. Step 2: Convert to fraction form
    649,200.20/973,800.30 = 205,968.20/x
  3. Step 3: Cross multiply
    649,200.20x = 973,800.30 × 205,968.20
  4. Step 4: Simplify right side
    649,200.20x = 200,571,894,950.46
  5. Step 5: Solve for x
    x = 200,571,894,950.46/649,200.20
  6. Step 6: Final answer
    x = 308,952.30

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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.