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Finding the Fourth Proportional to 415,824.06, 573,834.42 and 234,537.48

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Solution

The fourth proportional to 415,824.06, 573,834.42 and 234,537.48 is: 323,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,824.06 : 573,834.42 = 234,537.48 : x
  2. Step 2: Convert to fraction form
    415,824.06/573,834.42 = 234,537.48/x
  3. Step 3: Cross multiply
    415,824.06x = 573,834.42 × 234,537.48
  4. Step 4: Simplify right side
    415,824.06x = 134,585,678,804.06
  5. Step 5: Solve for x
    x = 134,585,678,804.06/415,824.06
  6. Step 6: Final answer
    x = 323,660.15

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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.