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Finding the Fourth Proportional to 408,594.27, 563,864.52 and 224,835.24

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Solution

The fourth proportional to 408,594.27, 563,864.52 and 224,835.24 is: 310,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,594.27 : 563,864.52 = 224,835.24 : x
  2. Step 2: Convert to fraction form
    408,594.27/563,864.52 = 224,835.24/x
  3. Step 3: Cross multiply
    408,594.27x = 563,864.52 × 224,835.24
  4. Step 4: Simplify right side
    408,594.27x = 126,776,614,681.69
  5. Step 5: Solve for x
    x = 126,776,614,681.69/408,594.27
  6. Step 6: Final answer
    x = 310,275.07

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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.