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Finding the Fourth Proportional to 417,698.16, 576,423.92 and 226,711.68

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Solution

The fourth proportional to 417,698.16, 576,423.92 and 226,711.68 is: 312,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.16 : 576,423.92 = 226,711.68 : x
  2. Step 2: Convert to fraction form
    417,698.16/576,423.92 = 226,711.68/x
  3. Step 3: Cross multiply
    417,698.16x = 576,423.92 × 226,711.68
  4. Step 4: Simplify right side
    417,698.16x = 130,682,035,295.39
  5. Step 5: Solve for x
    x = 130,682,035,295.39/417,698.16
  6. Step 6: Final answer
    x = 312,862.37

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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.