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Finding the Fourth Proportional to 342,545.36, 513,153.12 and 252,424.50

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Solution

The fourth proportional to 342,545.36, 513,153.12 and 252,424.50 is: 378,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,545.36 : 513,153.12 = 252,424.50 : x
  2. Step 2: Convert to fraction form
    342,545.36/513,153.12 = 252,424.50/x
  3. Step 3: Cross multiply
    342,545.36x = 513,153.12 × 252,424.50
  4. Step 4: Simplify right side
    342,545.36x = 129,532,419,739.44
  5. Step 5: Solve for x
    x = 129,532,419,739.44/342,545.36
  6. Step 6: Final answer
    x = 378,146.76

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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.