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Finding the Fourth Proportional to 417,662.48, 576,370.82 and 226,675.91

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Solution

The fourth proportional to 417,662.48, 576,370.82 and 226,675.91 is: 312,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,662.48 : 576,370.82 = 226,675.91 : x
  2. Step 2: Convert to fraction form
    417,662.48/576,370.82 = 226,675.91/x
  3. Step 3: Cross multiply
    417,662.48x = 576,370.82 × 226,675.91
  4. Step 4: Simplify right side
    417,662.48x = 130,649,382,128.56
  5. Step 5: Solve for x
    x = 130,649,382,128.56/417,662.48
  6. Step 6: Final answer
    x = 312,810.91

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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.