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Finding the Fourth Proportional to 624,414, 861,689.70 and 337,934.01

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Solution

The fourth proportional to 624,414, 861,689.70 and 337,934.01 is: 466,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,414 : 861,689.70 = 337,934.01 : x
  2. Step 2: Convert to fraction form
    624,414/861,689.70 = 337,934.01/x
  3. Step 3: Cross multiply
    624,414x = 861,689.70 × 337,934.01
  4. Step 4: Simplify right side
    624,414x = 291,194,255,696.70
  5. Step 5: Solve for x
    x = 291,194,255,696.70/624,414
  6. Step 6: Final answer
    x = 466,348.06

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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.