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Finding the Fourth Proportional to 319,728.62, 479,489.08 and 106,439.24

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Solution

The fourth proportional to 319,728.62, 479,489.08 and 106,439.24 is: 159,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,728.62 : 479,489.08 = 106,439.24 : x
  2. Step 2: Convert to fraction form
    319,728.62/479,489.08 = 106,439.24/x
  3. Step 3: Cross multiply
    319,728.62x = 479,489.08 × 106,439.24
  4. Step 4: Simplify right side
    319,728.62x = 51,036,453,263.50
  5. Step 5: Solve for x
    x = 51,036,453,263.50/319,728.62
  6. Step 6: Final answer
    x = 159,624.29

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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.