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Finding the Fourth Proportional to 440,193.60, 658,540.80 and 381,679.20

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Solution

The fourth proportional to 440,193.60, 658,540.80 and 381,679.20 is: 571,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,193.60 : 658,540.80 = 381,679.20 : x
  2. Step 2: Convert to fraction form
    440,193.60/658,540.80 = 381,679.20/x
  3. Step 3: Cross multiply
    440,193.60x = 658,540.80 × 381,679.20
  4. Step 4: Simplify right side
    440,193.60x = 251,351,325,711.36
  5. Step 5: Solve for x
    x = 251,351,325,711.36/440,193.60
  6. Step 6: Final answer
    x = 571,001.77

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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.