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Finding the Fourth Proportional to 409,849.60, 615,163.20 and 252,385.60

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Solution

The fourth proportional to 409,849.60, 615,163.20 and 252,385.60 is: 378,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849.60 : 615,163.20 = 252,385.60 : x
  2. Step 2: Convert to fraction form
    409,849.60/615,163.20 = 252,385.60/x
  3. Step 3: Cross multiply
    409,849.60x = 615,163.20 × 252,385.60
  4. Step 4: Simplify right side
    409,849.60x = 155,258,333,329.92
  5. Step 5: Solve for x
    x = 155,258,333,329.92/409,849.60
  6. Step 6: Final answer
    x = 378,817.82

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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.