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Finding the Fourth Proportional to 648,001.10, 972,001.65 and 457,229.90

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Solution

The fourth proportional to 648,001.10, 972,001.65 and 457,229.90 is: 685,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,001.10 : 972,001.65 = 457,229.90 : x
  2. Step 2: Convert to fraction form
    648,001.10/972,001.65 = 457,229.90/x
  3. Step 3: Cross multiply
    648,001.10x = 972,001.65 × 457,229.90
  4. Step 4: Simplify right side
    648,001.10x = 444,428,217,229.34
  5. Step 5: Solve for x
    x = 444,428,217,229.34/648,001.10
  6. Step 6: Final answer
    x = 685,844.85

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