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Finding the Fourth Proportional to 331,617.72, 497,497.66 and 106,991

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Solution

The fourth proportional to 331,617.72, 497,497.66 and 106,991 is: 160,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,617.72 : 497,497.66 = 106,991 : x
  2. Step 2: Convert to fraction form
    331,617.72/497,497.66 = 106,991/x
  3. Step 3: Cross multiply
    331,617.72x = 497,497.66 × 106,991
  4. Step 4: Simplify right side
    331,617.72x = 53,227,772,141.06
  5. Step 5: Solve for x
    x = 53,227,772,141.06/331,617.72
  6. Step 6: Final answer
    x = 160,509.43

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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.