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Finding the Fourth Proportional to 337,085.84, 505,433.14 and 159,591.36

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Solution

The fourth proportional to 337,085.84, 505,433.14 and 159,591.36 is: 239,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,085.84 : 505,433.14 = 159,591.36 : x
  2. Step 2: Convert to fraction form
    337,085.84/505,433.14 = 159,591.36/x
  3. Step 3: Cross multiply
    337,085.84x = 505,433.14 × 159,591.36
  4. Step 4: Simplify right side
    337,085.84x = 80,662,762,201.67
  5. Step 5: Solve for x
    x = 80,662,762,201.67/337,085.84
  6. Step 6: Final answer
    x = 239,294.42

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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.