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Finding the Fourth Proportional to 408,041.42, 563,111.33 and 226,760.99

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Solution

The fourth proportional to 408,041.42, 563,111.33 and 226,760.99 is: 312,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,041.42 : 563,111.33 = 226,760.99 : x
  2. Step 2: Convert to fraction form
    408,041.42/563,111.33 = 226,760.99/x
  3. Step 3: Cross multiply
    408,041.42x = 563,111.33 × 226,760.99
  4. Step 4: Simplify right side
    408,041.42x = 127,691,678,721.66
  5. Step 5: Solve for x
    x = 127,691,678,721.66/408,041.42
  6. Step 6: Final answer
    x = 312,938.04

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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.