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Finding the Fourth Proportional to 497,761.80, 686,911.97 and 271,407.30

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Solution

The fourth proportional to 497,761.80, 686,911.97 and 271,407.30 is: 374,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,761.80 : 686,911.97 = 271,407.30 : x
  2. Step 2: Convert to fraction form
    497,761.80/686,911.97 = 271,407.30/x
  3. Step 3: Cross multiply
    497,761.80x = 686,911.97 × 271,407.30
  4. Step 4: Simplify right side
    497,761.80x = 186,432,923,115.38
  5. Step 5: Solve for x
    x = 186,432,923,115.38/497,761.80
  6. Step 6: Final answer
    x = 374,542.45

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1.5x scale

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.