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Finding the Fourth Proportional to 408,874.77, 564,247.11 and 227,582.80

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Solution

The fourth proportional to 408,874.77, 564,247.11 and 227,582.80 is: 314,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,874.77 : 564,247.11 = 227,582.80 : x
  2. Step 2: Convert to fraction form
    408,874.77/564,247.11 = 227,582.80/x
  3. Step 3: Cross multiply
    408,874.77x = 564,247.11 × 227,582.80
  4. Step 4: Simplify right side
    408,874.77x = 128,412,937,185.71
  5. Step 5: Solve for x
    x = 128,412,937,185.71/408,874.77
  6. Step 6: Final answer
    x = 314,064.22

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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.