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Finding the Fourth Proportional to 497,883.36, 746,825.16 and 123,906.36

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Solution

The fourth proportional to 497,883.36, 746,825.16 and 123,906.36 is: 185,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,883.36 : 746,825.16 = 123,906.36 : x
  2. Step 2: Convert to fraction form
    497,883.36/746,825.16 = 123,906.36/x
  3. Step 3: Cross multiply
    497,883.36x = 746,825.16 × 123,906.36
  4. Step 4: Simplify right side
    497,883.36x = 92,536,387,132.02
  5. Step 5: Solve for x
    x = 92,536,387,132.02/497,883.36
  6. Step 6: Final answer
    x = 185,859.57

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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.