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Finding the Fourth Proportional to 331,626.72, 497,511.16 and 107,000

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Solution

The fourth proportional to 331,626.72, 497,511.16 and 107,000 is: 160,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,626.72 : 497,511.16 = 107,000 : x
  2. Step 2: Convert to fraction form
    331,626.72/497,511.16 = 107,000/x
  3. Step 3: Cross multiply
    331,626.72x = 497,511.16 × 107,000
  4. Step 4: Simplify right side
    331,626.72x = 53,233,694,120
  5. Step 5: Solve for x
    x = 53,233,694,120/331,626.72
  6. Step 6: Final answer
    x = 160,522.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.