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Finding the Fourth Proportional to 344,993.13, 517,314.69 and 157,844.25

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Solution

The fourth proportional to 344,993.13, 517,314.69 and 157,844.25 is: 236,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,993.13 : 517,314.69 = 157,844.25 : x
  2. Step 2: Convert to fraction form
    344,993.13/517,314.69 = 157,844.25/x
  3. Step 3: Cross multiply
    344,993.13x = 517,314.69 × 157,844.25
  4. Step 4: Simplify right side
    344,993.13x = 81,655,149,257.03
  5. Step 5: Solve for x
    x = 81,655,149,257.03/344,993.13
  6. Step 6: Final answer
    x = 236,686.31

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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.