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Finding the Fourth Proportional to 415,677.07, 573,585.61 and 234,378.20

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Solution

The fourth proportional to 415,677.07, 573,585.61 and 234,378.20 is: 323,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,677.07 : 573,585.61 = 234,378.20 : x
  2. Step 2: Convert to fraction form
    415,677.07/573,585.61 = 234,378.20/x
  3. Step 3: Cross multiply
    415,677.07x = 573,585.61 × 234,378.20
  4. Step 4: Simplify right side
    415,677.07x = 134,435,958,777.88
  5. Step 5: Solve for x
    x = 134,435,958,777.88/415,677.07
  6. Step 6: Final answer
    x = 323,414.42

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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.