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Finding the Fourth Proportional to 462,002.60, 693,441.30 and 395,517.80

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Solution

The fourth proportional to 462,002.60, 693,441.30 and 395,517.80 is: 593,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,002.60 : 693,441.30 = 395,517.80 : x
  2. Step 2: Convert to fraction form
    462,002.60/693,441.30 = 395,517.80/x
  3. Step 3: Cross multiply
    462,002.60x = 693,441.30 × 395,517.80
  4. Step 4: Simplify right side
    462,002.60x = 274,268,377,405.14
  5. Step 5: Solve for x
    x = 274,268,377,405.14/462,002.60
  6. Step 6: Final answer
    x = 593,651.16

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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.