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Finding the Fourth Proportional to 342,269.20, 512,712.60 and 194,352.40

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Solution

The fourth proportional to 342,269.20, 512,712.60 and 194,352.40 is: 291,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,269.20 : 512,712.60 = 194,352.40 : x
  2. Step 2: Convert to fraction form
    342,269.20/512,712.60 = 194,352.40/x
  3. Step 3: Cross multiply
    342,269.20x = 512,712.60 × 194,352.40
  4. Step 4: Simplify right side
    342,269.20x = 99,646,924,320.24
  5. Step 5: Solve for x
    x = 99,646,924,320.24/342,269.20
  6. Step 6: Final answer
    x = 291,136.11

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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.