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Finding the Fourth Proportional to 474,959.88, 655,439.73 and 257,164.82

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Solution

The fourth proportional to 474,959.88, 655,439.73 and 257,164.82 is: 354,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,959.88 : 655,439.73 = 257,164.82 : x
  2. Step 2: Convert to fraction form
    474,959.88/655,439.73 = 257,164.82/x
  3. Step 3: Cross multiply
    474,959.88x = 655,439.73 × 257,164.82
  4. Step 4: Simplify right side
    474,959.88x = 168,556,036,909.10
  5. Step 5: Solve for x
    x = 168,556,036,909.10/474,959.88
  6. Step 6: Final answer
    x = 354,884.79

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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.