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Finding the Fourth Proportional to 417,823.48, 576,587.46 and 226,835.20

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Solution

The fourth proportional to 417,823.48, 576,587.46 and 226,835.20 is: 313,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,823.48 : 576,587.46 = 226,835.20 : x
  2. Step 2: Convert to fraction form
    417,823.48/576,587.46 = 226,835.20/x
  3. Step 3: Cross multiply
    417,823.48x = 576,587.46 × 226,835.20
  4. Step 4: Simplify right side
    417,823.48x = 130,790,331,806.59
  5. Step 5: Solve for x
    x = 130,790,331,806.59/417,823.48
  6. Step 6: Final answer
    x = 313,027.72

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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.