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Finding the Fourth Proportional to 325,116, 487,231.20 and 183,029.04

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Solution

The fourth proportional to 325,116, 487,231.20 and 183,029.04 is: 274,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,116 : 487,231.20 = 183,029.04 : x
  2. Step 2: Convert to fraction form
    325,116/487,231.20 = 183,029.04/x
  3. Step 3: Cross multiply
    325,116x = 487,231.20 × 183,029.04
  4. Step 4: Simplify right side
    325,116x = 89,177,458,794.05
  5. Step 5: Solve for x
    x = 89,177,458,794.05/325,116
  6. Step 6: Final answer
    x = 274,294.28

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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.