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Finding the Fourth Proportional to 306,422.06, 459,844.49 and 106,744.10

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Solution

The fourth proportional to 306,422.06, 459,844.49 and 106,744.10 is: 160,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,422.06 : 459,844.49 = 106,744.10 : x
  2. Step 2: Convert to fraction form
    306,422.06/459,844.49 = 106,744.10/x
  3. Step 3: Cross multiply
    306,422.06x = 459,844.49 × 106,744.10
  4. Step 4: Simplify right side
    306,422.06x = 49,085,684,192.65
  5. Step 5: Solve for x
    x = 49,085,684,192.65/306,422.06
  6. Step 6: Final answer
    x = 160,189.79

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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.