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Finding the Fourth Proportional to 353,644.29, 488,092.37 and 226,315.53

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Solution

The fourth proportional to 353,644.29, 488,092.37 and 226,315.53 is: 312,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,644.29 : 488,092.37 = 226,315.53 : x
  2. Step 2: Convert to fraction form
    353,644.29/488,092.37 = 226,315.53/x
  3. Step 3: Cross multiply
    353,644.29x = 488,092.37 × 226,315.53
  4. Step 4: Simplify right side
    353,644.29x = 110,462,882,273.93
  5. Step 5: Solve for x
    x = 110,462,882,273.93/353,644.29
  6. Step 6: Final answer
    x = 312,355.91

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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.