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Finding the Fourth Proportional to 417,439.61, 576,068.10 and 226,454.36

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Solution

The fourth proportional to 417,439.61, 576,068.10 and 226,454.36 is: 312,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,439.61 : 576,068.10 = 226,454.36 : x
  2. Step 2: Convert to fraction form
    417,439.61/576,068.10 = 226,454.36/x
  3. Step 3: Cross multiply
    417,439.61x = 576,068.10 × 226,454.36
  4. Step 4: Simplify right side
    417,439.61x = 130,453,132,901.92
  5. Step 5: Solve for x
    x = 130,453,132,901.92/417,439.61
  6. Step 6: Final answer
    x = 312,507.80

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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.