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Finding the Fourth Proportional to 497,800.28, 686,963.13 and 271,445.78

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Solution

The fourth proportional to 497,800.28, 686,963.13 and 271,445.78 is: 374,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,800.28 : 686,963.13 = 271,445.78 : x
  2. Step 2: Convert to fraction form
    497,800.28/686,963.13 = 271,445.78/x
  3. Step 3: Cross multiply
    497,800.28x = 686,963.13 × 271,445.78
  4. Step 4: Simplify right side
    497,800.28x = 186,473,243,353.58
  5. Step 5: Solve for x
    x = 186,473,243,353.58/497,800.28
  6. Step 6: Final answer
    x = 374,594.49

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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.