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Finding the Fourth Proportional to 404,974, 558,864.12 and 226,126

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Solution

The fourth proportional to 404,974, 558,864.12 and 226,126 is: 312,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,974 : 558,864.12 = 226,126 : x
  2. Step 2: Convert to fraction form
    404,974/558,864.12 = 226,126/x
  3. Step 3: Cross multiply
    404,974x = 558,864.12 × 226,126
  4. Step 4: Simplify right side
    404,974x = 126,373,707,999.12
  5. Step 5: Solve for x
    x = 126,373,707,999.12/404,974
  6. Step 6: Final answer
    x = 312,053.88

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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.