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Finding the Fourth Proportional to 417,623.31, 576,320.55 and 226,636.71

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Solution

The fourth proportional to 417,623.31, 576,320.55 and 226,636.71 is: 312,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,623.31 : 576,320.55 = 226,636.71 : x
  2. Step 2: Convert to fraction form
    417,623.31/576,320.55 = 226,636.71/x
  3. Step 3: Cross multiply
    417,623.31x = 576,320.55 × 226,636.71
  4. Step 4: Simplify right side
    417,623.31x = 130,615,393,357.39
  5. Step 5: Solve for x
    x = 130,615,393,357.39/417,623.31
  6. Step 6: Final answer
    x = 312,758.87

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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.