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Finding the Fourth Proportional to 361,105.68, 498,319.71 and 199,957.28

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Solution

The fourth proportional to 361,105.68, 498,319.71 and 199,957.28 is: 275,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,105.68 : 498,319.71 = 199,957.28 : x
  2. Step 2: Convert to fraction form
    361,105.68/498,319.71 = 199,957.28/x
  3. Step 3: Cross multiply
    361,105.68x = 498,319.71 × 199,957.28
  4. Step 4: Simplify right side
    361,105.68x = 99,642,651,290.39
  5. Step 5: Solve for x
    x = 99,642,651,290.39/361,105.68
  6. Step 6: Final answer
    x = 275,937.65

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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.