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Finding the Fourth Proportional to 416,115.38, 574,827.09 and 331,123.70

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Solution

The fourth proportional to 416,115.38, 574,827.09 and 331,123.70 is: 457,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,115.38 : 574,827.09 = 331,123.70 : x
  2. Step 2: Convert to fraction form
    416,115.38/574,827.09 = 331,123.70/x
  3. Step 3: Cross multiply
    416,115.38x = 574,827.09 × 331,123.70
  4. Step 4: Simplify right side
    416,115.38x = 190,338,872,901.03
  5. Step 5: Solve for x
    x = 190,338,872,901.03/416,115.38
  6. Step 6: Final answer
    x = 457,418.50

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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.