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Finding the Fourth Proportional to 417,700.80, 576,425.16 and 226,712.52

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Solution

The fourth proportional to 417,700.80, 576,425.16 and 226,712.52 is: 312,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,700.80 : 576,425.16 = 226,712.52 : x
  2. Step 2: Convert to fraction form
    417,700.80/576,425.16 = 226,712.52/x
  3. Step 3: Cross multiply
    417,700.80x = 576,425.16 × 226,712.52
  4. Step 4: Simplify right side
    417,700.80x = 130,682,800,615.00
  5. Step 5: Solve for x
    x = 130,682,800,615.00/417,700.80
  6. Step 6: Final answer
    x = 312,862.22

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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.