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Finding the Fourth Proportional to 344,810.49, 517,049.15 and 120,165.63

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Solution

The fourth proportional to 344,810.49, 517,049.15 and 120,165.63 is: 180,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,810.49 : 517,049.15 = 120,165.63 : x
  2. Step 2: Convert to fraction form
    344,810.49/517,049.15 = 120,165.63/x
  3. Step 3: Cross multiply
    344,810.49x = 517,049.15 × 120,165.63
  4. Step 4: Simplify right side
    344,810.49x = 62,131,536,249.89
  5. Step 5: Solve for x
    x = 62,131,536,249.89/344,810.49
  6. Step 6: Final answer
    x = 180,190.39

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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.