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Finding the Fourth Proportional to 497,796.80, 746,693.76 and 123,819.80

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Solution

The fourth proportional to 497,796.80, 746,693.76 and 123,819.80 is: 185,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,796.80 : 746,693.76 = 123,819.80 : x
  2. Step 2: Convert to fraction form
    497,796.80/746,693.76 = 123,819.80/x
  3. Step 3: Cross multiply
    497,796.80x = 746,693.76 × 123,819.80
  4. Step 4: Simplify right side
    497,796.80x = 92,455,472,024.45
  5. Step 5: Solve for x
    x = 92,455,472,024.45/497,796.80
  6. Step 6: Final answer
    x = 185,729.34

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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.