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Finding the Fourth Proportional to 512,074.20, 768,111.30 and 157,087.65

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Solution

The fourth proportional to 512,074.20, 768,111.30 and 157,087.65 is: 235,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,074.20 : 768,111.30 = 157,087.65 : x
  2. Step 2: Convert to fraction form
    512,074.20/768,111.30 = 157,087.65/x
  3. Step 3: Cross multiply
    512,074.20x = 768,111.30 × 157,087.65
  4. Step 4: Simplify right side
    512,074.20x = 120,660,799,055.45
  5. Step 5: Solve for x
    x = 120,660,799,055.45/512,074.20
  6. Step 6: Final answer
    x = 235,631.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.