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Finding the Fourth Proportional to 417,589.43, 576,274.97 and 226,602.86

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Solution

The fourth proportional to 417,589.43, 576,274.97 and 226,602.86 is: 312,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,589.43 : 576,274.97 = 226,602.86 : x
  2. Step 2: Convert to fraction form
    417,589.43/576,274.97 = 226,602.86/x
  3. Step 3: Cross multiply
    417,589.43x = 576,274.97 × 226,602.86
  4. Step 4: Simplify right side
    417,589.43x = 130,585,555,215.40
  5. Step 5: Solve for x
    x = 130,585,555,215.40/417,589.43
  6. Step 6: Final answer
    x = 312,712.79

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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.