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Finding the Fourth Proportional to 417,674.26, 576,391.04 and 226,687.65

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Solution

The fourth proportional to 417,674.26, 576,391.04 and 226,687.65 is: 312,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,674.26 : 576,391.04 = 226,687.65 : x
  2. Step 2: Convert to fraction form
    417,674.26/576,391.04 = 226,687.65/x
  3. Step 3: Cross multiply
    417,674.26x = 576,391.04 × 226,687.65
  4. Step 4: Simplify right side
    417,674.26x = 130,660,730,338.66
  5. Step 5: Solve for x
    x = 130,660,730,338.66/417,674.26
  6. Step 6: Final answer
    x = 312,829.26

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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.