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Finding the Fourth Proportional to 417,687.38, 576,409.12 and 226,700.82

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Solution

The fourth proportional to 417,687.38, 576,409.12 and 226,700.82 is: 312,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,687.38 : 576,409.12 = 226,700.82 : x
  2. Step 2: Convert to fraction form
    417,687.38/576,409.12 = 226,700.82/x
  3. Step 3: Cross multiply
    417,687.38x = 576,409.12 × 226,700.82
  4. Step 4: Simplify right side
    417,687.38x = 130,672,420,159.48
  5. Step 5: Solve for x
    x = 130,672,420,159.48/417,687.38
  6. Step 6: Final answer
    x = 312,847.42

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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.