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Finding the Fourth Proportional to 298,265.48, 411,470.24 and 177,337.95

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Solution

The fourth proportional to 298,265.48, 411,470.24 and 177,337.95 is: 244,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,265.48 : 411,470.24 = 177,337.95 : x
  2. Step 2: Convert to fraction form
    298,265.48/411,470.24 = 177,337.95/x
  3. Step 3: Cross multiply
    298,265.48x = 411,470.24 × 177,337.95
  4. Step 4: Simplify right side
    298,265.48x = 72,969,288,847.61
  5. Step 5: Solve for x
    x = 72,969,288,847.61/298,265.48
  6. Step 6: Final answer
    x = 244,645.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.