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Finding the Fourth Proportional to 322,312.30, 483,469.80 and 109,081.90

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Solution

The fourth proportional to 322,312.30, 483,469.80 and 109,081.90 is: 163,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,312.30 : 483,469.80 = 109,081.90 : x
  2. Step 2: Convert to fraction form
    322,312.30/483,469.80 = 109,081.90/x
  3. Step 3: Cross multiply
    322,312.30x = 483,469.80 × 109,081.90
  4. Step 4: Simplify right side
    322,312.30x = 52,737,804,376.62
  5. Step 5: Solve for x
    x = 52,737,804,376.62/322,312.30
  6. Step 6: Final answer
    x = 163,623.31

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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.