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Finding the Fourth Proportional to 408,089.28, 563,098.86 and 235,943.22

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Solution

The fourth proportional to 408,089.28, 563,098.86 and 235,943.22 is: 325,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,089.28 : 563,098.86 = 235,943.22 : x
  2. Step 2: Convert to fraction form
    408,089.28/563,098.86 = 235,943.22/x
  3. Step 3: Cross multiply
    408,089.28x = 563,098.86 × 235,943.22
  4. Step 4: Simplify right side
    408,089.28x = 132,859,358,206.73
  5. Step 5: Solve for x
    x = 132,859,358,206.73/408,089.28
  6. Step 6: Final answer
    x = 325,564.44

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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.