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Finding the Fourth Proportional to 360,873.88, 498,007.02 and 199,740.12

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Solution

The fourth proportional to 360,873.88, 498,007.02 and 199,740.12 is: 275,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,873.88 : 498,007.02 = 199,740.12 : x
  2. Step 2: Convert to fraction form
    360,873.88/498,007.02 = 199,740.12/x
  3. Step 3: Cross multiply
    360,873.88x = 498,007.02 × 199,740.12
  4. Step 4: Simplify right side
    360,873.88x = 99,471,981,935.64
  5. Step 5: Solve for x
    x = 99,471,981,935.64/360,873.88
  6. Step 6: Final answer
    x = 275,641.96

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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.