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Finding the Fourth Proportional to 399,873.50, 599,976.84 and 175,395.14

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Solution

The fourth proportional to 399,873.50, 599,976.84 and 175,395.14 is: 263,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,873.50 : 599,976.84 = 175,395.14 : x
  2. Step 2: Convert to fraction form
    399,873.50/599,976.84 = 175,395.14/x
  3. Step 3: Cross multiply
    399,873.50x = 599,976.84 × 175,395.14
  4. Step 4: Simplify right side
    399,873.50x = 105,233,021,848.56
  5. Step 5: Solve for x
    x = 105,233,021,848.56/399,873.50
  6. Step 6: Final answer
    x = 263,165.78

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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.