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Finding the Fourth Proportional to 497,486.52, 686,532.06 and 271,132.02

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Solution

The fourth proportional to 497,486.52, 686,532.06 and 271,132.02 is: 374,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,486.52 : 686,532.06 = 271,132.02 : x
  2. Step 2: Convert to fraction form
    497,486.52/686,532.06 = 271,132.02/x
  3. Step 3: Cross multiply
    497,486.52x = 686,532.06 × 271,132.02
  4. Step 4: Simplify right side
    497,486.52x = 186,140,824,222.56
  5. Step 5: Solve for x
    x = 186,140,824,222.56/497,486.52
  6. Step 6: Final answer
    x = 374,162.55

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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.