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Finding the Fourth Proportional to 256,410.60, 384,615.90 and 185,551.80

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Solution

The fourth proportional to 256,410.60, 384,615.90 and 185,551.80 is: 278,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,410.60 : 384,615.90 = 185,551.80 : x
  2. Step 2: Convert to fraction form
    256,410.60/384,615.90 = 185,551.80/x
  3. Step 3: Cross multiply
    256,410.60x = 384,615.90 × 185,551.80
  4. Step 4: Simplify right side
    256,410.60x = 71,366,172,553.62
  5. Step 5: Solve for x
    x = 71,366,172,553.62/256,410.60
  6. Step 6: Final answer
    x = 278,327.70

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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.