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Finding the Fourth Proportional to 463,761.20, 695,236.80 and 179,645.60

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Solution

The fourth proportional to 463,761.20, 695,236.80 and 179,645.60 is: 269,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,761.20 : 695,236.80 = 179,645.60 : x
  2. Step 2: Convert to fraction form
    463,761.20/695,236.80 = 179,645.60/x
  3. Step 3: Cross multiply
    463,761.20x = 695,236.80 × 179,645.60
  4. Step 4: Simplify right side
    463,761.20x = 124,896,232,078.08
  5. Step 5: Solve for x
    x = 124,896,232,078.08/463,761.20
  6. Step 6: Final answer
    x = 269,311.52

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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.