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Finding the Fourth Proportional to 293,578.40, 440,367.60 and 136,114.40

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Solution

The fourth proportional to 293,578.40, 440,367.60 and 136,114.40 is: 204,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,578.40 : 440,367.60 = 136,114.40 : x
  2. Step 2: Convert to fraction form
    293,578.40/440,367.60 = 136,114.40/x
  3. Step 3: Cross multiply
    293,578.40x = 440,367.60 × 136,114.40
  4. Step 4: Simplify right side
    293,578.40x = 59,940,371,653.44
  5. Step 5: Solve for x
    x = 59,940,371,653.44/293,578.40
  6. Step 6: Final answer
    x = 204,171.60

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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.