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Finding the Fourth Proportional to 474,829.96, 655,266 and 259,971.52

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Solution

The fourth proportional to 474,829.96, 655,266 and 259,971.52 is: 358,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,829.96 : 655,266 = 259,971.52 : x
  2. Step 2: Convert to fraction form
    474,829.96/655,266 = 259,971.52/x
  3. Step 3: Cross multiply
    474,829.96x = 655,266 × 259,971.52
  4. Step 4: Simplify right side
    474,829.96x = 170,350,498,024.32
  5. Step 5: Solve for x
    x = 170,350,498,024.32/474,829.96
  6. Step 6: Final answer
    x = 358,761.06

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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.