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Finding the Fourth Proportional to 417,698.20, 576,424.17 and 226,711.67

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Solution

The fourth proportional to 417,698.20, 576,424.17 and 226,711.67 is: 312,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.20 : 576,424.17 = 226,711.67 : x
  2. Step 2: Convert to fraction form
    417,698.20/576,424.17 = 226,711.67/x
  3. Step 3: Cross multiply
    417,698.20x = 576,424.17 × 226,711.67
  4. Step 4: Simplify right side
    417,698.20x = 130,682,086,209.06
  5. Step 5: Solve for x
    x = 130,682,086,209.06/417,698.20
  6. Step 6: Final answer
    x = 312,862.46

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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.