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Finding the Fourth Proportional to 310,388.70, 465,578.44 and 85,744.16

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Solution

The fourth proportional to 310,388.70, 465,578.44 and 85,744.16 is: 128,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,388.70 : 465,578.44 = 85,744.16 : x
  2. Step 2: Convert to fraction form
    310,388.70/465,578.44 = 85,744.16/x
  3. Step 3: Cross multiply
    310,388.70x = 465,578.44 × 85,744.16
  4. Step 4: Simplify right side
    310,388.70x = 39,920,634,078.68
  5. Step 5: Solve for x
    x = 39,920,634,078.68/310,388.70
  6. Step 6: Final answer
    x = 128,614.97

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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.