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Finding the Fourth Proportional to 343,977.50, 515,989 and 91,254.44

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Solution

The fourth proportional to 343,977.50, 515,989 and 91,254.44 is: 136,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,977.50 : 515,989 = 91,254.44 : x
  2. Step 2: Convert to fraction form
    343,977.50/515,989 = 91,254.44/x
  3. Step 3: Cross multiply
    343,977.50x = 515,989 × 91,254.44
  4. Step 4: Simplify right side
    343,977.50x = 47,086,287,241.16
  5. Step 5: Solve for x
    x = 47,086,287,241.16/343,977.50
  6. Step 6: Final answer
    x = 136,887.70

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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.