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Finding the Fourth Proportional to 254,976.40, 382,610.40 and 176,147.20

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Solution

The fourth proportional to 254,976.40, 382,610.40 and 176,147.20 is: 264,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,976.40 : 382,610.40 = 176,147.20 : x
  2. Step 2: Convert to fraction form
    254,976.40/382,610.40 = 176,147.20/x
  3. Step 3: Cross multiply
    254,976.40x = 382,610.40 × 176,147.20
  4. Step 4: Simplify right side
    254,976.40x = 67,395,750,650.88
  5. Step 5: Solve for x
    x = 67,395,750,650.88/254,976.40
  6. Step 6: Final answer
    x = 264,321.52

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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.