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Finding the Fourth Proportional to 361,010.10, 498,197.82 and 199,867.62

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Solution

The fourth proportional to 361,010.10, 498,197.82 and 199,867.62 is: 275,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,010.10 : 498,197.82 = 199,867.62 : x
  2. Step 2: Convert to fraction form
    361,010.10/498,197.82 = 199,867.62/x
  3. Step 3: Cross multiply
    361,010.10x = 498,197.82 × 199,867.62
  4. Step 4: Simplify right side
    361,010.10x = 99,573,612,572.59
  5. Step 5: Solve for x
    x = 99,573,612,572.59/361,010.10
  6. Step 6: Final answer
    x = 275,819.46

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1.5x scale

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.