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Finding the Fourth Proportional to 256,475.60, 384,252.60 and 219,611.60

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Solution

The fourth proportional to 256,475.60, 384,252.60 and 219,611.60 is: 329,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,475.60 : 384,252.60 = 219,611.60 : x
  2. Step 2: Convert to fraction form
    256,475.60/384,252.60 = 219,611.60/x
  3. Step 3: Cross multiply
    256,475.60x = 384,252.60 × 219,611.60
  4. Step 4: Simplify right side
    256,475.60x = 84,386,328,290.16
  5. Step 5: Solve for x
    x = 84,386,328,290.16/256,475.60
  6. Step 6: Final answer
    x = 329,022.83

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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.