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Finding the Fourth Proportional to 474,959.52, 655,439.21 and 257,164.44

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Solution

The fourth proportional to 474,959.52, 655,439.21 and 257,164.44 is: 354,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,959.52 : 655,439.21 = 257,164.44 : x
  2. Step 2: Convert to fraction form
    474,959.52/655,439.21 = 257,164.44/x
  3. Step 3: Cross multiply
    474,959.52x = 655,439.21 × 257,164.44
  4. Step 4: Simplify right side
    474,959.52x = 168,555,656,107.87
  5. Step 5: Solve for x
    x = 168,555,656,107.87/474,959.52
  6. Step 6: Final answer
    x = 354,884.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.