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Finding the Fourth Proportional to 289,083.31, 433,622.53 and 225,956.52

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Solution

The fourth proportional to 289,083.31, 433,622.53 and 225,956.52 is: 338,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,083.31 : 433,622.53 = 225,956.52 : x
  2. Step 2: Convert to fraction form
    289,083.31/433,622.53 = 225,956.52/x
  3. Step 3: Cross multiply
    289,083.31x = 433,622.53 × 225,956.52
  4. Step 4: Simplify right side
    289,083.31x = 97,979,837,872.40
  5. Step 5: Solve for x
    x = 97,979,837,872.40/289,083.31
  6. Step 6: Final answer
    x = 338,932.88

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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.