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Finding the Fourth Proportional to 256,429.60, 384,644.40 and 138,331.60

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Solution

The fourth proportional to 256,429.60, 384,644.40 and 138,331.60 is: 207,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,429.60 : 384,644.40 = 138,331.60 : x
  2. Step 2: Convert to fraction form
    256,429.60/384,644.40 = 138,331.60/x
  3. Step 3: Cross multiply
    256,429.60x = 384,644.40 × 138,331.60
  4. Step 4: Simplify right side
    256,429.60x = 53,208,475,283.04
  5. Step 5: Solve for x
    x = 53,208,475,283.04/256,429.60
  6. Step 6: Final answer
    x = 207,497.40

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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.