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Finding the Fourth Proportional to 408,095.28, 563,107.14 and 235,949.22

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Solution

The fourth proportional to 408,095.28, 563,107.14 and 235,949.22 is: 325,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,095.28 : 563,107.14 = 235,949.22 : x
  2. Step 2: Convert to fraction form
    408,095.28/563,107.14 = 235,949.22/x
  3. Step 3: Cross multiply
    408,095.28x = 563,107.14 × 235,949.22
  4. Step 4: Simplify right side
    408,095.28x = 132,864,690,459.43
  5. Step 5: Solve for x
    x = 132,864,690,459.43/408,095.28
  6. Step 6: Final answer
    x = 325,572.72

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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.