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Finding the Fourth Proportional to 257,410.60, 386,115.90 and 218,141.80

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Solution

The fourth proportional to 257,410.60, 386,115.90 and 218,141.80 is: 327,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.60 : 386,115.90 = 218,141.80 : x
  2. Step 2: Convert to fraction form
    257,410.60/386,115.90 = 218,141.80/x
  3. Step 3: Cross multiply
    257,410.60x = 386,115.90 × 218,141.80
  4. Step 4: Simplify right side
    257,410.60x = 84,228,017,434.62
  5. Step 5: Solve for x
    x = 84,228,017,434.62/257,410.60
  6. Step 6: Final answer
    x = 327,212.70

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Why These Related Problems?

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