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Finding the Fourth Proportional to 299,589.74, 413,436.60 and 170,521.88

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Solution

The fourth proportional to 299,589.74, 413,436.60 and 170,521.88 is: 235,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,589.74 : 413,436.60 = 170,521.88 : x
  2. Step 2: Convert to fraction form
    299,589.74/413,436.60 = 170,521.88/x
  3. Step 3: Cross multiply
    299,589.74x = 413,436.60 × 170,521.88
  4. Step 4: Simplify right side
    299,589.74x = 70,499,986,292.81
  5. Step 5: Solve for x
    x = 70,499,986,292.81/299,589.74
  6. Step 6: Final answer
    x = 235,321.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.