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Finding the Fourth Proportional to 417,762.70, 576,510.92 and 226,774.42

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Solution

The fourth proportional to 417,762.70, 576,510.92 and 226,774.42 is: 312,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,762.70 : 576,510.92 = 226,774.42 : x
  2. Step 2: Convert to fraction form
    417,762.70/576,510.92 = 226,774.42/x
  3. Step 3: Cross multiply
    417,762.70x = 576,510.92 × 226,774.42
  4. Step 4: Simplify right side
    417,762.70x = 130,737,927,781.92
  5. Step 5: Solve for x
    x = 130,737,927,781.92/417,762.70
  6. Step 6: Final answer
    x = 312,947.83

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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.