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Finding the Fourth Proportional to 256,726.20, 384,360.30 and 242,761.80

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Solution

The fourth proportional to 256,726.20, 384,360.30 and 242,761.80 is: 363,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,726.20 : 384,360.30 = 242,761.80 : x
  2. Step 2: Convert to fraction form
    256,726.20/384,360.30 = 242,761.80/x
  3. Step 3: Cross multiply
    256,726.20x = 384,360.30 × 242,761.80
  4. Step 4: Simplify right side
    256,726.20x = 93,307,998,276.54
  5. Step 5: Solve for x
    x = 93,307,998,276.54/256,726.20
  6. Step 6: Final answer
    x = 363,453.35

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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.