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Finding the Fourth Proportional to 361,095.17, 498,305.24 and 199,946.75

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Solution

The fourth proportional to 361,095.17, 498,305.24 and 199,946.75 is: 275,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,095.17 : 498,305.24 = 199,946.75 : x
  2. Step 2: Convert to fraction form
    361,095.17/498,305.24 = 199,946.75/x
  3. Step 3: Cross multiply
    361,095.17x = 498,305.24 × 199,946.75
  4. Step 4: Simplify right side
    361,095.17x = 99,634,513,245.97
  5. Step 5: Solve for x
    x = 99,634,513,245.97/361,095.17
  6. Step 6: Final answer
    x = 275,923.14

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Double scale
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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.