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Finding the Fourth Proportional to 265,428.80, 398,757.60 and 182,484.80

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Solution

The fourth proportional to 265,428.80, 398,757.60 and 182,484.80 is: 274,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,428.80 : 398,757.60 = 182,484.80 : x
  2. Step 2: Convert to fraction form
    265,428.80/398,757.60 = 182,484.80/x
  3. Step 3: Cross multiply
    265,428.80x = 398,757.60 × 182,484.80
  4. Step 4: Simplify right side
    265,428.80x = 72,767,200,884.48
  5. Step 5: Solve for x
    x = 72,767,200,884.48/265,428.80
  6. Step 6: Final answer
    x = 274,149.61

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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.