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Finding the Fourth Proportional to 362,097.92, 499,680.32 and 200,959.68

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Solution

The fourth proportional to 362,097.92, 499,680.32 and 200,959.68 is: 277,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,097.92 : 499,680.32 = 200,959.68 : x
  2. Step 2: Convert to fraction form
    362,097.92/499,680.32 = 200,959.68/x
  3. Step 3: Cross multiply
    362,097.92x = 499,680.32 × 200,959.68
  4. Step 4: Simplify right side
    362,097.92x = 100,415,597,209.50
  5. Step 5: Solve for x
    x = 100,415,597,209.50/362,097.92
  6. Step 6: Final answer
    x = 277,316.14

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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.