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Finding the Fourth Proportional to 466,086.80, 698,669.40 and 185,229.20

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Solution

The fourth proportional to 466,086.80, 698,669.40 and 185,229.20 is: 277,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,086.80 : 698,669.40 = 185,229.20 : x
  2. Step 2: Convert to fraction form
    466,086.80/698,669.40 = 185,229.20/x
  3. Step 3: Cross multiply
    466,086.80x = 698,669.40 × 185,229.20
  4. Step 4: Simplify right side
    466,086.80x = 129,413,974,026.48
  5. Step 5: Solve for x
    x = 129,413,974,026.48/466,086.80
  6. Step 6: Final answer
    x = 277,660.67

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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.