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Finding the Fourth Proportional to 417,726.80, 576,461.04 and 226,738.52

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Solution

The fourth proportional to 417,726.80, 576,461.04 and 226,738.52 is: 312,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,726.80 : 576,461.04 = 226,738.52 : x
  2. Step 2: Convert to fraction form
    417,726.80/576,461.04 = 226,738.52/x
  3. Step 3: Cross multiply
    417,726.80x = 576,461.04 × 226,738.52
  4. Step 4: Simplify right side
    417,726.80x = 130,705,923,047.26
  5. Step 5: Solve for x
    x = 130,705,923,047.26/417,726.80
  6. Step 6: Final answer
    x = 312,898.10

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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.