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Finding the Fourth Proportional to 408,463.24, 563,674.24 and 229,615.24

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Solution

The fourth proportional to 408,463.24, 563,674.24 and 229,615.24 is: 316,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,463.24 : 563,674.24 = 229,615.24 : x
  2. Step 2: Convert to fraction form
    408,463.24/563,674.24 = 229,615.24/x
  3. Step 3: Cross multiply
    408,463.24x = 563,674.24 × 229,615.24
  4. Step 4: Simplify right side
    408,463.24x = 129,428,195,899.42
  5. Step 5: Solve for x
    x = 129,428,195,899.42/408,463.24
  6. Step 6: Final answer
    x = 316,866.20

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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.