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Finding the Fourth Proportional to 515,257.32, 773,108.46 and 278,766.48

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Solution

The fourth proportional to 515,257.32, 773,108.46 and 278,766.48 is: 418,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,257.32 : 773,108.46 = 278,766.48 : x
  2. Step 2: Convert to fraction form
    515,257.32/773,108.46 = 278,766.48/x
  3. Step 3: Cross multiply
    515,257.32x = 773,108.46 × 278,766.48
  4. Step 4: Simplify right side
    515,257.32x = 215,516,724,052.42
  5. Step 5: Solve for x
    x = 215,516,724,052.42/515,257.32
  6. Step 6: Final answer
    x = 418,270.09

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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.