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Finding the Fourth Proportional to 408,116.86, 563,210.84 and 226,836.43

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Solution

The fourth proportional to 408,116.86, 563,210.84 and 226,836.43 is: 313,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,116.86 : 563,210.84 = 226,836.43 : x
  2. Step 2: Convert to fraction form
    408,116.86/563,210.84 = 226,836.43/x
  3. Step 3: Cross multiply
    408,116.86x = 563,210.84 × 226,836.43
  4. Step 4: Simplify right side
    408,116.86x = 127,756,736,282.90
  5. Step 5: Solve for x
    x = 127,756,736,282.90/408,116.86
  6. Step 6: Final answer
    x = 313,039.59

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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.