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Finding the Fourth Proportional to 342,142.60, 512,241.90 and 323,523.40

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Solution

The fourth proportional to 342,142.60, 512,241.90 and 323,523.40 is: 484,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.60 : 512,241.90 = 323,523.40 : x
  2. Step 2: Convert to fraction form
    342,142.60/512,241.90 = 323,523.40/x
  3. Step 3: Cross multiply
    342,142.60x = 512,241.90 × 323,523.40
  4. Step 4: Simplify right side
    342,142.60x = 165,722,241,110.46
  5. Step 5: Solve for x
    x = 165,722,241,110.46/342,142.60
  6. Step 6: Final answer
    x = 484,366.00

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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.