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Finding the Fourth Proportional to 399,877.50, 599,982.84 and 175,399.14

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Solution

The fourth proportional to 399,877.50, 599,982.84 and 175,399.14 is: 263,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,877.50 : 599,982.84 = 175,399.14 : x
  2. Step 2: Convert to fraction form
    399,877.50/599,982.84 = 175,399.14/x
  3. Step 3: Cross multiply
    399,877.50x = 599,982.84 × 175,399.14
  4. Step 4: Simplify right side
    399,877.50x = 105,236,474,150.76
  5. Step 5: Solve for x
    x = 105,236,474,150.76/399,877.50
  6. Step 6: Final answer
    x = 263,171.78

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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.