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Finding the Fourth Proportional to 417,706.47, 576,435.51 and 226,719.90

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Solution

The fourth proportional to 417,706.47, 576,435.51 and 226,719.90 is: 312,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706.47 : 576,435.51 = 226,719.90 : x
  2. Step 2: Convert to fraction form
    417,706.47/576,435.51 = 226,719.90/x
  3. Step 3: Cross multiply
    417,706.47x = 576,435.51 × 226,719.90
  4. Step 4: Simplify right side
    417,706.47x = 130,689,401,183.65
  5. Step 5: Solve for x
    x = 130,689,401,183.65/417,706.47
  6. Step 6: Final answer
    x = 312,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.