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Finding the Fourth Proportional to 497,871.92, 746,813.02 and 123,894.92

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Solution

The fourth proportional to 497,871.92, 746,813.02 and 123,894.92 is: 185,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,871.92 : 746,813.02 = 123,894.92 : x
  2. Step 2: Convert to fraction form
    497,871.92/746,813.02 = 123,894.92/x
  3. Step 3: Cross multiply
    497,871.92x = 746,813.02 × 123,894.92
  4. Step 4: Simplify right side
    497,871.92x = 92,526,339,367.86
  5. Step 5: Solve for x
    x = 92,526,339,367.86/497,871.92
  6. Step 6: Final answer
    x = 185,843.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.