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Finding the Fourth Proportional to 541,095.78, 810,270.62 and 324,819.92

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Solution

The fourth proportional to 541,095.78, 810,270.62 and 324,819.92 is: 486,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,095.78 : 810,270.62 = 324,819.92 : x
  2. Step 2: Convert to fraction form
    541,095.78/810,270.62 = 324,819.92/x
  3. Step 3: Cross multiply
    541,095.78x = 810,270.62 × 324,819.92
  4. Step 4: Simplify right side
    541,095.78x = 263,192,037,966.75
  5. Step 5: Solve for x
    x = 263,192,037,966.75/541,095.78
  6. Step 6: Final answer
    x = 486,405.64

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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.