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Finding the Fourth Proportional to 417,829.80, 576,605.12 and 226,843.20

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Solution

The fourth proportional to 417,829.80, 576,605.12 and 226,843.20 is: 313,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,829.80 : 576,605.12 = 226,843.20 : x
  2. Step 2: Convert to fraction form
    417,829.80/576,605.12 = 226,843.20/x
  3. Step 3: Cross multiply
    417,829.80x = 576,605.12 × 226,843.20
  4. Step 4: Simplify right side
    417,829.80x = 130,798,950,557.18
  5. Step 5: Solve for x
    x = 130,798,950,557.18/417,829.80
  6. Step 6: Final answer
    x = 313,043.61

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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.