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Finding the Fourth Proportional to 649,148.30, 973,722.45 and 649,148.30

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Solution

The fourth proportional to 649,148.30, 973,722.45 and 649,148.30 is: 973,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,148.30 : 973,722.45 = 649,148.30 : x
  2. Step 2: Convert to fraction form
    649,148.30/973,722.45 = 649,148.30/x
  3. Step 3: Cross multiply
    649,148.30x = 973,722.45 × 649,148.30
  4. Step 4: Simplify right side
    649,148.30x = 632,090,273,089.34
  5. Step 5: Solve for x
    x = 632,090,273,089.34/649,148.30
  6. Step 6: Final answer
    x = 973,722.45

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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.