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Finding the Fourth Proportional to 342,327.60, 512,519.40 and 323,708.40

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Solution

The fourth proportional to 342,327.60, 512,519.40 and 323,708.40 is: 484,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,327.60 : 512,519.40 = 323,708.40 : x
  2. Step 2: Convert to fraction form
    342,327.60/512,519.40 = 323,708.40/x
  3. Step 3: Cross multiply
    342,327.60x = 512,519.40 × 323,708.40
  4. Step 4: Simplify right side
    342,327.60x = 165,906,834,942.96
  5. Step 5: Solve for x
    x = 165,906,834,942.96/342,327.60
  6. Step 6: Final answer
    x = 484,643.47

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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.