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Finding the Fourth Proportional to 417,695.41, 576,418.22 and 226,708.80

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Solution

The fourth proportional to 417,695.41, 576,418.22 and 226,708.80 is: 312,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,695.41 : 576,418.22 = 226,708.80 : x
  2. Step 2: Convert to fraction form
    417,695.41/576,418.22 = 226,708.80/x
  3. Step 3: Cross multiply
    417,695.41x = 576,418.22 × 226,708.80
  4. Step 4: Simplify right side
    417,695.41x = 130,679,082,954.34
  5. Step 5: Solve for x
    x = 130,679,082,954.34/417,695.41
  6. Step 6: Final answer
    x = 312,857.36

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1.5x scale

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.