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Finding the Fourth Proportional to 415,394.87, 573,248.48 and 234,072.05

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Solution

The fourth proportional to 415,394.87, 573,248.48 and 234,072.05 is: 323,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,394.87 : 573,248.48 = 234,072.05 : x
  2. Step 2: Convert to fraction form
    415,394.87/573,248.48 = 234,072.05/x
  3. Step 3: Cross multiply
    415,394.87x = 573,248.48 × 234,072.05
  4. Step 4: Simplify right side
    415,394.87x = 134,181,442,836.38
  5. Step 5: Solve for x
    x = 134,181,442,836.38/415,394.87
  6. Step 6: Final answer
    x = 323,021.43

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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.