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Finding the Fourth Proportional to 514,001.53, 709,223.68 and 332,688.30

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Solution

The fourth proportional to 514,001.53, 709,223.68 and 332,688.30 is: 459,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,001.53 : 709,223.68 = 332,688.30 : x
  2. Step 2: Convert to fraction form
    514,001.53/709,223.68 = 332,688.30/x
  3. Step 3: Cross multiply
    514,001.53x = 709,223.68 × 332,688.30
  4. Step 4: Simplify right side
    514,001.53x = 235,950,418,175.22
  5. Step 5: Solve for x
    x = 235,950,418,175.22/514,001.53
  6. Step 6: Final answer
    x = 459,046.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.