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Finding the Fourth Proportional to 580,916.20, 871,374.30 and 206,951.40

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Solution

The fourth proportional to 580,916.20, 871,374.30 and 206,951.40 is: 310,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,916.20 : 871,374.30 = 206,951.40 : x
  2. Step 2: Convert to fraction form
    580,916.20/871,374.30 = 206,951.40/x
  3. Step 3: Cross multiply
    580,916.20x = 871,374.30 × 206,951.40
  4. Step 4: Simplify right side
    580,916.20x = 180,332,131,309.02
  5. Step 5: Solve for x
    x = 180,332,131,309.02/580,916.20
  6. Step 6: Final answer
    x = 310,427.10

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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.