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Finding the Fourth Proportional to 391,405.20, 586,416.60 and 320,902.80

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Solution

The fourth proportional to 391,405.20, 586,416.60 and 320,902.80 is: 480,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,405.20 : 586,416.60 = 320,902.80 : x
  2. Step 2: Convert to fraction form
    391,405.20/586,416.60 = 320,902.80/x
  3. Step 3: Cross multiply
    391,405.20x = 586,416.60 × 320,902.80
  4. Step 4: Simplify right side
    391,405.20x = 188,182,728,906.48
  5. Step 5: Solve for x
    x = 188,182,728,906.48/391,405.20
  6. Step 6: Final answer
    x = 480,787.50

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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.