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Finding the Fourth Proportional to 275,289.60, 413,177.40 and 162,829.20

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Solution

The fourth proportional to 275,289.60, 413,177.40 and 162,829.20 is: 244,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,289.60 : 413,177.40 = 162,829.20 : x
  2. Step 2: Convert to fraction form
    275,289.60/413,177.40 = 162,829.20/x
  3. Step 3: Cross multiply
    275,289.60x = 413,177.40 × 162,829.20
  4. Step 4: Simplify right side
    275,289.60x = 67,277,345,500.08
  5. Step 5: Solve for x
    x = 67,277,345,500.08/275,289.60
  6. Step 6: Final answer
    x = 244,387.53

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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.