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Finding the Fourth Proportional to 710,939.38, 981,097.17 and 409,133.62

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Solution

The fourth proportional to 710,939.38, 981,097.17 and 409,133.62 is: 564,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,939.38 : 981,097.17 = 409,133.62 : x
  2. Step 2: Convert to fraction form
    710,939.38/981,097.17 = 409,133.62/x
  3. Step 3: Cross multiply
    710,939.38x = 981,097.17 × 409,133.62
  4. Step 4: Simplify right side
    710,939.38x = 401,399,836,733.86
  5. Step 5: Solve for x
    x = 401,399,836,733.86/710,939.38
  6. Step 6: Final answer
    x = 564,604.87

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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.