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Finding the Fourth Proportional to 415,680.69, 573,590.61 and 234,381.82

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Solution

The fourth proportional to 415,680.69, 573,590.61 and 234,381.82 is: 323,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,680.69 : 573,590.61 = 234,381.82 : x
  2. Step 2: Convert to fraction form
    415,680.69/573,590.61 = 234,381.82/x
  3. Step 3: Cross multiply
    415,680.69x = 573,590.61 × 234,381.82
  4. Step 4: Simplify right side
    415,680.69x = 134,439,209,672.73
  5. Step 5: Solve for x
    x = 134,439,209,672.73/415,680.69
  6. Step 6: Final answer
    x = 323,419.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.