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Finding the Fourth Proportional to 417,754.14, 576,500.22 and 226,767.52

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Solution

The fourth proportional to 417,754.14, 576,500.22 and 226,767.52 is: 312,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,754.14 : 576,500.22 = 226,767.52 : x
  2. Step 2: Convert to fraction form
    417,754.14/576,500.22 = 226,767.52/x
  3. Step 3: Cross multiply
    417,754.14x = 576,500.22 × 226,767.52
  4. Step 4: Simplify right side
    417,754.14x = 130,731,525,168.85
  5. Step 5: Solve for x
    x = 130,731,525,168.85/417,754.14
  6. Step 6: Final answer
    x = 312,938.91

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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.