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Finding the Fourth Proportional to 309,552.88, 464,329.32 and 204,347.20

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Solution

The fourth proportional to 309,552.88, 464,329.32 and 204,347.20 is: 306,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,552.88 : 464,329.32 = 204,347.20 : x
  2. Step 2: Convert to fraction form
    309,552.88/464,329.32 = 204,347.20/x
  3. Step 3: Cross multiply
    309,552.88x = 464,329.32 × 204,347.20
  4. Step 4: Simplify right side
    309,552.88x = 94,884,396,419.90
  5. Step 5: Solve for x
    x = 94,884,396,419.90/309,552.88
  6. Step 6: Final answer
    x = 306,520.80

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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.