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Finding the Fourth Proportional to 355,446.80, 532,306.20 and 188,867.60

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Solution

The fourth proportional to 355,446.80, 532,306.20 and 188,867.60 is: 282,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,446.80 : 532,306.20 = 188,867.60 : x
  2. Step 2: Convert to fraction form
    355,446.80/532,306.20 = 188,867.60/x
  3. Step 3: Cross multiply
    355,446.80x = 532,306.20 × 188,867.60
  4. Step 4: Simplify right side
    355,446.80x = 100,535,394,459.12
  5. Step 5: Solve for x
    x = 100,535,394,459.12/355,446.80
  6. Step 6: Final answer
    x = 282,842.31

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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.