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Finding the Fourth Proportional to 543,705.10, 750,229.64 and 314,218.07

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Solution

The fourth proportional to 543,705.10, 750,229.64 and 314,218.07 is: 433,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,705.10 : 750,229.64 = 314,218.07 : x
  2. Step 2: Convert to fraction form
    543,705.10/750,229.64 = 314,218.07/x
  3. Step 3: Cross multiply
    543,705.10x = 750,229.64 × 314,218.07
  4. Step 4: Simplify right side
    543,705.10x = 235,735,711,151.13
  5. Step 5: Solve for x
    x = 235,735,711,151.13/543,705.10
  6. Step 6: Final answer
    x = 433,572.74

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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.