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Finding the Fourth Proportional to 299,728.67, 413,620.74 and 163,759.70

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Solution

The fourth proportional to 299,728.67, 413,620.74 and 163,759.70 is: 225,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,728.67 : 413,620.74 = 163,759.70 : x
  2. Step 2: Convert to fraction form
    299,728.67/413,620.74 = 163,759.70/x
  3. Step 3: Cross multiply
    299,728.67x = 413,620.74 × 163,759.70
  4. Step 4: Simplify right side
    299,728.67x = 67,734,405,409.28
  5. Step 5: Solve for x
    x = 67,734,405,409.28/299,728.67
  6. Step 6: Final answer
    x = 225,985.74

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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.