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Finding the Fourth Proportional to 408,180.17, 563,295.38 and 224,426.51

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Solution

The fourth proportional to 408,180.17, 563,295.38 and 224,426.51 is: 309,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,180.17 : 563,295.38 = 224,426.51 : x
  2. Step 2: Convert to fraction form
    408,180.17/563,295.38 = 224,426.51/x
  3. Step 3: Cross multiply
    408,180.17x = 563,295.38 × 224,426.51
  4. Step 4: Simplify right side
    408,180.17x = 126,418,412,293.91
  5. Step 5: Solve for x
    x = 126,418,412,293.91/408,180.17
  6. Step 6: Final answer
    x = 309,712.28

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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.