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Finding the Fourth Proportional to 497,807.28, 686,972.78 and 271,452.78

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Solution

The fourth proportional to 497,807.28, 686,972.78 and 271,452.78 is: 374,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,807.28 : 686,972.78 = 271,452.78 : x
  2. Step 2: Convert to fraction form
    497,807.28/686,972.78 = 271,452.78/x
  3. Step 3: Cross multiply
    497,807.28x = 686,972.78 × 271,452.78
  4. Step 4: Simplify right side
    497,807.28x = 186,480,670,915.33
  5. Step 5: Solve for x
    x = 186,480,670,915.33/497,807.28
  6. Step 6: Final answer
    x = 374,604.15

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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.