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Finding the Fourth Proportional to 417,871.24, 576,663.06 and 226,884.04

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Solution

The fourth proportional to 417,871.24, 576,663.06 and 226,884.04 is: 313,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,871.24 : 576,663.06 = 226,884.04 : x
  2. Step 2: Convert to fraction form
    417,871.24/576,663.06 = 226,884.04/x
  3. Step 3: Cross multiply
    417,871.24x = 576,663.06 × 226,884.04
  4. Step 4: Simplify right side
    417,871.24x = 130,835,644,771.56
  5. Step 5: Solve for x
    x = 130,835,644,771.56/417,871.24
  6. Step 6: Final answer
    x = 313,100.38

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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.