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Finding the Fourth Proportional to 411,761.20, 618,678.60 and 262,073.20

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Solution

The fourth proportional to 411,761.20, 618,678.60 and 262,073.20 is: 393,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,761.20 : 618,678.60 = 262,073.20 : x
  2. Step 2: Convert to fraction form
    411,761.20/618,678.60 = 262,073.20/x
  3. Step 3: Cross multiply
    411,761.20x = 618,678.60 × 262,073.20
  4. Step 4: Simplify right side
    411,761.20x = 162,139,080,473.52
  5. Step 5: Solve for x
    x = 162,139,080,473.52/411,761.20
  6. Step 6: Final answer
    x = 393,769.69

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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.