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Finding the Fourth Proportional to 497,100.42, 686,006.55 and 270,745.92

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Solution

The fourth proportional to 497,100.42, 686,006.55 and 270,745.92 is: 373,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,100.42 : 686,006.55 = 270,745.92 : x
  2. Step 2: Convert to fraction form
    497,100.42/686,006.55 = 270,745.92/x
  3. Step 3: Cross multiply
    497,100.42x = 686,006.55 × 270,745.92
  4. Step 4: Simplify right side
    497,100.42x = 185,733,474,505.78
  5. Step 5: Solve for x
    x = 185,733,474,505.78/497,100.42
  6. Step 6: Final answer
    x = 373,633.71

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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.