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Finding the Fourth Proportional to 417,701.12, 576,420.30 and 226,710.41

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Solution

The fourth proportional to 417,701.12, 576,420.30 and 226,710.41 is: 312,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.12 : 576,420.30 = 226,710.41 : x
  2. Step 2: Convert to fraction form
    417,701.12/576,420.30 = 226,710.41/x
  3. Step 3: Cross multiply
    417,701.12x = 576,420.30 × 226,710.41
  4. Step 4: Simplify right side
    417,701.12x = 130,680,479,663.22
  5. Step 5: Solve for x
    x = 130,680,479,663.22/417,701.12
  6. Step 6: Final answer
    x = 312,856.43

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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.