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Finding the Fourth Proportional to 417,706.76, 576,435.84 and 226,720.10

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Solution

The fourth proportional to 417,706.76, 576,435.84 and 226,720.10 is: 312,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706.76 : 576,435.84 = 226,720.10 : x
  2. Step 2: Convert to fraction form
    417,706.76/576,435.84 = 226,720.10/x
  3. Step 3: Cross multiply
    417,706.76x = 576,435.84 × 226,720.10
  4. Step 4: Simplify right side
    417,706.76x = 130,689,591,288.38
  5. Step 5: Solve for x
    x = 130,689,591,288.38/417,706.76
  6. Step 6: Final answer
    x = 312,874.02

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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.