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Finding the Fourth Proportional to 488,925.77, 733,204.31 and 204,636.02

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Solution

The fourth proportional to 488,925.77, 733,204.31 and 204,636.02 is: 306,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,925.77 : 733,204.31 = 204,636.02 : x
  2. Step 2: Convert to fraction form
    488,925.77/733,204.31 = 204,636.02/x
  3. Step 3: Cross multiply
    488,925.77x = 733,204.31 × 204,636.02
  4. Step 4: Simplify right side
    488,925.77x = 150,040,007,156.05
  5. Step 5: Solve for x
    x = 150,040,007,156.05/488,925.77
  6. Step 6: Final answer
    x = 306,876.87

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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.