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Finding the Fourth Proportional to 359,233.60, 538,267.20 and 225,875.20

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Solution

The fourth proportional to 359,233.60, 538,267.20 and 225,875.20 is: 338,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,233.60 : 538,267.20 = 225,875.20 : x
  2. Step 2: Convert to fraction form
    359,233.60/538,267.20 = 225,875.20/x
  3. Step 3: Cross multiply
    359,233.60x = 538,267.20 × 225,875.20
  4. Step 4: Simplify right side
    359,233.60x = 121,581,211,453.44
  5. Step 5: Solve for x
    x = 121,581,211,453.44/359,233.60
  6. Step 6: Final answer
    x = 338,446.10

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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.