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Finding the Fourth Proportional to 417,701.28, 576,429.72 and 226,714.68

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Solution

The fourth proportional to 417,701.28, 576,429.72 and 226,714.68 is: 312,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.28 : 576,429.72 = 226,714.68 : x
  2. Step 2: Convert to fraction form
    417,701.28/576,429.72 = 226,714.68/x
  3. Step 3: Cross multiply
    417,701.28x = 576,429.72 × 226,714.68
  4. Step 4: Simplify right side
    417,701.28x = 130,685,079,512.29
  5. Step 5: Solve for x
    x = 130,685,079,512.29/417,701.28
  6. Step 6: Final answer
    x = 312,867.32

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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.