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Finding the Fourth Proportional to 408,218.32, 563,338.24 and 226,946.80

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Solution

The fourth proportional to 408,218.32, 563,338.24 and 226,946.80 is: 313,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,218.32 : 563,338.24 = 226,946.80 : x
  2. Step 2: Convert to fraction form
    408,218.32/563,338.24 = 226,946.80/x
  3. Step 3: Cross multiply
    408,218.32x = 563,338.24 × 226,946.80
  4. Step 4: Simplify right side
    408,218.32x = 127,847,810,885.63
  5. Step 5: Solve for x
    x = 127,847,810,885.63/408,218.32
  6. Step 6: Final answer
    x = 313,184.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.