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Finding the Fourth Proportional to 309,630.75, 464,524.16 and 88,014.75

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Solution

The fourth proportional to 309,630.75, 464,524.16 and 88,014.75 is: 132,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,630.75 : 464,524.16 = 88,014.75 : x
  2. Step 2: Convert to fraction form
    309,630.75/464,524.16 = 88,014.75/x
  3. Step 3: Cross multiply
    309,630.75x = 464,524.16 × 88,014.75
  4. Step 4: Simplify right side
    309,630.75x = 40,884,977,371.29
  5. Step 5: Solve for x
    x = 40,884,977,371.29/309,630.75
  6. Step 6: Final answer
    x = 132,044.31

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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.