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Finding the Fourth Proportional to 497,517.12, 686,573.88 and 282,657.56

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Solution

The fourth proportional to 497,517.12, 686,573.88 and 282,657.56 is: 390,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,517.12 : 686,573.88 = 282,657.56 : x
  2. Step 2: Convert to fraction form
    497,517.12/686,573.88 = 282,657.56/x
  3. Step 3: Cross multiply
    497,517.12x = 686,573.88 × 282,657.56
  4. Step 4: Simplify right side
    497,517.12x = 194,065,297,680.53
  5. Step 5: Solve for x
    x = 194,065,297,680.53/497,517.12
  6. Step 6: Final answer
    x = 390,067.58

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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.