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Finding the Fourth Proportional to 550,875, 826,450.74 and 156,891

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Solution

The fourth proportional to 550,875, 826,450.74 and 156,891 is: 235,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,875 : 826,450.74 = 156,891 : x
  2. Step 2: Convert to fraction form
    550,875/826,450.74 = 156,891/x
  3. Step 3: Cross multiply
    550,875x = 826,450.74 × 156,891
  4. Step 4: Simplify right side
    550,875x = 129,662,683,049.34
  5. Step 5: Solve for x
    x = 129,662,683,049.34/550,875
  6. Step 6: Final answer
    x = 235,375.87

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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.