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Finding the Fourth Proportional to 289,100.97, 433,648.92 and 225,974.13

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Solution

The fourth proportional to 289,100.97, 433,648.92 and 225,974.13 is: 338,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,100.97 : 433,648.92 = 225,974.13 : x
  2. Step 2: Convert to fraction form
    289,100.97/433,648.92 = 225,974.13/x
  3. Step 3: Cross multiply
    289,100.97x = 433,648.92 × 225,974.13
  4. Step 4: Simplify right side
    289,100.97x = 97,993,435,956.64
  5. Step 5: Solve for x
    x = 97,993,435,956.64/289,100.97
  6. Step 6: Final answer
    x = 338,959.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.