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Finding the Fourth Proportional to 550,873, 826,447.74 and 156,889

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Solution

The fourth proportional to 550,873, 826,447.74 and 156,889 is: 235,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,873 : 826,447.74 = 156,889 : x
  2. Step 2: Convert to fraction form
    550,873/826,447.74 = 156,889/x
  3. Step 3: Cross multiply
    550,873x = 826,447.74 × 156,889
  4. Step 4: Simplify right side
    550,873x = 129,660,559,480.86
  5. Step 5: Solve for x
    x = 129,660,559,480.86/550,873
  6. Step 6: Final answer
    x = 235,372.87

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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.