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Finding the Fourth Proportional to 497,797.76, 746,699.34 and 123,820.76

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Solution

The fourth proportional to 497,797.76, 746,699.34 and 123,820.76 is: 185,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,797.76 : 746,699.34 = 123,820.76 : x
  2. Step 2: Convert to fraction form
    497,797.76/746,699.34 = 123,820.76/x
  3. Step 3: Cross multiply
    497,797.76x = 746,699.34 × 123,820.76
  4. Step 4: Simplify right side
    497,797.76x = 92,456,879,770.30
  5. Step 5: Solve for x
    x = 92,456,879,770.30/497,797.76
  6. Step 6: Final answer
    x = 185,731.81

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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.