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Finding the Fourth Proportional to 257,584.80, 386,377.20 and 230,028.60

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Solution

The fourth proportional to 257,584.80, 386,377.20 and 230,028.60 is: 345,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.80 : 386,377.20 = 230,028.60 : x
  2. Step 2: Convert to fraction form
    257,584.80/386,377.20 = 230,028.60/x
  3. Step 3: Cross multiply
    257,584.80x = 386,377.20 × 230,028.60
  4. Step 4: Simplify right side
    257,584.80x = 88,877,806,387.92
  5. Step 5: Solve for x
    x = 88,877,806,387.92/257,584.80
  6. Step 6: Final answer
    x = 345,042.90

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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.