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Finding the Fourth Proportional to 655,205.31, 982,108.08 and 467,648.19

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Solution

The fourth proportional to 655,205.31, 982,108.08 and 467,648.19 is: 700,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,205.31 : 982,108.08 = 467,648.19 : x
  2. Step 2: Convert to fraction form
    655,205.31/982,108.08 = 467,648.19/x
  3. Step 3: Cross multiply
    655,205.31x = 982,108.08 × 467,648.19
  4. Step 4: Simplify right side
    655,205.31x = 459,281,065,996.38
  5. Step 5: Solve for x
    x = 459,281,065,996.38/655,205.31
  6. Step 6: Final answer
    x = 700,972.75

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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.