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Finding the Fourth Proportional to 417,855.06, 576,644.13 and 226,870.02

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Solution

The fourth proportional to 417,855.06, 576,644.13 and 226,870.02 is: 313,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,855.06 : 576,644.13 = 226,870.02 : x
  2. Step 2: Convert to fraction form
    417,855.06/576,644.13 = 226,870.02/x
  3. Step 3: Cross multiply
    417,855.06x = 576,644.13 × 226,870.02
  4. Step 4: Simplify right side
    417,855.06x = 130,823,265,305.98
  5. Step 5: Solve for x
    x = 130,823,265,305.98/417,855.06
  6. Step 6: Final answer
    x = 313,082.88

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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.