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Finding the Fourth Proportional to 497,377.26, 686,359.17 and 282,516.66

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Solution

The fourth proportional to 497,377.26, 686,359.17 and 282,516.66 is: 389,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,377.26 : 686,359.17 = 282,516.66 : x
  2. Step 2: Convert to fraction form
    497,377.26/686,359.17 = 282,516.66/x
  3. Step 3: Cross multiply
    497,377.26x = 686,359.17 × 282,516.66
  4. Step 4: Simplify right side
    497,377.26x = 193,907,900,268.77
  5. Step 5: Solve for x
    x = 193,907,900,268.77/497,377.26
  6. Step 6: Final answer
    x = 389,860.81

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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.