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Finding the Fourth Proportional to 337,568.40, 505,963.80 and 137,757.60

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Solution

The fourth proportional to 337,568.40, 505,963.80 and 137,757.60 is: 206,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,568.40 : 505,963.80 = 137,757.60 : x
  2. Step 2: Convert to fraction form
    337,568.40/505,963.80 = 137,757.60/x
  3. Step 3: Cross multiply
    337,568.40x = 505,963.80 × 137,757.60
  4. Step 4: Simplify right side
    337,568.40x = 69,700,358,774.88
  5. Step 5: Solve for x
    x = 69,700,358,774.88/337,568.40
  6. Step 6: Final answer
    x = 206,477.74

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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.