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Finding the Fourth Proportional to 325,578.83, 488,534.94 and 154,993.61

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Solution

The fourth proportional to 325,578.83, 488,534.94 and 154,993.61 is: 232,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,578.83 : 488,534.94 = 154,993.61 : x
  2. Step 2: Convert to fraction form
    325,578.83/488,534.94 = 154,993.61/x
  3. Step 3: Cross multiply
    325,578.83x = 488,534.94 × 154,993.61
  4. Step 4: Simplify right side
    325,578.83x = 75,719,793,961.73
  5. Step 5: Solve for x
    x = 75,719,793,961.73/325,578.83
  6. Step 6: Final answer
    x = 232,569.77

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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.