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Finding the Fourth Proportional to 323,219.60, 485,117.40 and 189,933.20

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Solution

The fourth proportional to 323,219.60, 485,117.40 and 189,933.20 is: 285,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,219.60 : 485,117.40 = 189,933.20 : x
  2. Step 2: Convert to fraction form
    323,219.60/485,117.40 = 189,933.20/x
  3. Step 3: Cross multiply
    323,219.60x = 485,117.40 × 189,933.20
  4. Step 4: Simplify right side
    323,219.60x = 92,139,900,157.68
  5. Step 5: Solve for x
    x = 92,139,900,157.68/323,219.60
  6. Step 6: Final answer
    x = 285,069.04

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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.