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Finding the Fourth Proportional to 359,493.60, 538,808.40 and 149,023.20

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Solution

The fourth proportional to 359,493.60, 538,808.40 and 149,023.20 is: 223,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,493.60 : 538,808.40 = 149,023.20 : x
  2. Step 2: Convert to fraction form
    359,493.60/538,808.40 = 149,023.20/x
  3. Step 3: Cross multiply
    359,493.60x = 538,808.40 × 149,023.20
  4. Step 4: Simplify right side
    359,493.60x = 80,294,951,954.88
  5. Step 5: Solve for x
    x = 80,294,951,954.88/359,493.60
  6. Step 6: Final answer
    x = 223,355.72

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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.