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Finding the Fourth Proportional to 309,481.16, 464,221.73 and 204,275.52

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Solution

The fourth proportional to 309,481.16, 464,221.73 and 204,275.52 is: 306,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,481.16 : 464,221.73 = 204,275.52 : x
  2. Step 2: Convert to fraction form
    309,481.16/464,221.73 = 204,275.52/x
  3. Step 3: Cross multiply
    309,481.16x = 464,221.73 × 204,275.52
  4. Step 4: Simplify right side
    309,481.16x = 94,829,135,801.74
  5. Step 5: Solve for x
    x = 94,829,135,801.74/309,481.16
  6. Step 6: Final answer
    x = 306,413.28

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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.