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Finding the Fourth Proportional to 289,189.38, 433,029.55 and 232,721.04

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Solution

The fourth proportional to 289,189.38, 433,029.55 and 232,721.04 is: 348,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,189.38 : 433,029.55 = 232,721.04 : x
  2. Step 2: Convert to fraction form
    289,189.38/433,029.55 = 232,721.04/x
  3. Step 3: Cross multiply
    289,189.38x = 433,029.55 × 232,721.04
  4. Step 4: Simplify right side
    289,189.38x = 100,775,087,226.73
  5. Step 5: Solve for x
    x = 100,775,087,226.73/289,189.38
  6. Step 6: Final answer
    x = 348,474.37

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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.