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Finding the Fourth Proportional to 410,866.59, 566,963.58 and 227,097.42

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Solution

The fourth proportional to 410,866.59, 566,963.58 and 227,097.42 is: 313,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,866.59 : 566,963.58 = 227,097.42 : x
  2. Step 2: Convert to fraction form
    410,866.59/566,963.58 = 227,097.42/x
  3. Step 3: Cross multiply
    410,866.59x = 566,963.58 × 227,097.42
  4. Step 4: Simplify right side
    410,866.59x = 128,755,966,251.96
  5. Step 5: Solve for x
    x = 128,755,966,251.96/410,866.59
  6. Step 6: Final answer
    x = 313,376.58

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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.