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Finding the Fourth Proportional to 315,294.90, 435,103.38 and 172,057.38

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Solution

The fourth proportional to 315,294.90, 435,103.38 and 172,057.38 is: 237,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,294.90 : 435,103.38 = 172,057.38 : x
  2. Step 2: Convert to fraction form
    315,294.90/435,103.38 = 172,057.38/x
  3. Step 3: Cross multiply
    315,294.90x = 435,103.38 × 172,057.38
  4. Step 4: Simplify right side
    315,294.90x = 74,862,747,591.94
  5. Step 5: Solve for x
    x = 74,862,747,591.94/315,294.90
  6. Step 6: Final answer
    x = 237,437.23

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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.