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Finding the Fourth Proportional to 288,564.80, 432,847.20 and 182,276.60

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Solution

The fourth proportional to 288,564.80, 432,847.20 and 182,276.60 is: 273,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564.80 : 432,847.20 = 182,276.60 : x
  2. Step 2: Convert to fraction form
    288,564.80/432,847.20 = 182,276.60/x
  3. Step 3: Cross multiply
    288,564.80x = 432,847.20 × 182,276.60
  4. Step 4: Simplify right side
    288,564.80x = 78,897,915,935.52
  5. Step 5: Solve for x
    x = 78,897,915,935.52/288,564.80
  6. Step 6: Final answer
    x = 273,414.90

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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.