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Finding the Fourth Proportional to 417,707.80, 576,434.82 and 226,719.52

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Solution

The fourth proportional to 417,707.80, 576,434.82 and 226,719.52 is: 312,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,707.80 : 576,434.82 = 226,719.52 : x
  2. Step 2: Convert to fraction form
    417,707.80/576,434.82 = 226,719.52/x
  3. Step 3: Cross multiply
    417,707.80x = 576,434.82 × 226,719.52
  4. Step 4: Simplify right side
    417,707.80x = 130,689,025,701.69
  5. Step 5: Solve for x
    x = 130,689,025,701.69/417,707.80
  6. Step 6: Final answer
    x = 312,871.88

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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.