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Finding the Fourth Proportional to 415,824.31, 573,834.74 and 234,537.74

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Solution

The fourth proportional to 415,824.31, 573,834.74 and 234,537.74 is: 323,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,824.31 : 573,834.74 = 234,537.74 : x
  2. Step 2: Convert to fraction form
    415,824.31/573,834.74 = 234,537.74/x
  3. Step 3: Cross multiply
    415,824.31x = 573,834.74 × 234,537.74
  4. Step 4: Simplify right side
    415,824.31x = 134,585,903,053.09
  5. Step 5: Solve for x
    x = 134,585,903,053.09/415,824.31
  6. Step 6: Final answer
    x = 323,660.50

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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.