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Finding the Fourth Proportional to 840,560.30, 1,160,062.56 and 514,064.30

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Solution

The fourth proportional to 840,560.30, 1,160,062.56 and 514,064.30 is: 709,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,560.30 : 1,160,062.56 = 514,064.30 : x
  2. Step 2: Convert to fraction form
    840,560.30/1,160,062.56 = 514,064.30/x
  3. Step 3: Cross multiply
    840,560.30x = 1,160,062.56 × 514,064.30
  4. Step 4: Simplify right side
    840,560.30x = 596,346,747,862.61
  5. Step 5: Solve for x
    x = 596,346,747,862.61/840,560.30
  6. Step 6: Final answer
    x = 709,463.38

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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.