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Finding the Fourth Proportional to 550,872, 826,446.24 and 156,888

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Solution

The fourth proportional to 550,872, 826,446.24 and 156,888 is: 235,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,872 : 826,446.24 = 156,888 : x
  2. Step 2: Convert to fraction form
    550,872/826,446.24 = 156,888/x
  3. Step 3: Cross multiply
    550,872x = 826,446.24 × 156,888
  4. Step 4: Simplify right side
    550,872x = 129,659,497,701.12
  5. Step 5: Solve for x
    x = 129,659,497,701.12/550,872
  6. Step 6: Final answer
    x = 235,371.37

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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.