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Finding the Fourth Proportional to 365,132.46, 547,209.12 and 284,177.26

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Solution

The fourth proportional to 365,132.46, 547,209.12 and 284,177.26 is: 425,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,132.46 : 547,209.12 = 284,177.26 : x
  2. Step 2: Convert to fraction form
    365,132.46/547,209.12 = 284,177.26/x
  3. Step 3: Cross multiply
    365,132.46x = 547,209.12 × 284,177.26
  4. Step 4: Simplify right side
    365,132.46x = 155,504,388,368.61
  5. Step 5: Solve for x
    x = 155,504,388,368.61/365,132.46
  6. Step 6: Final answer
    x = 425,884.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.