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Finding the Fourth Proportional to 540,606, 810,121.66 and 259,795.20

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Solution

The fourth proportional to 540,606, 810,121.66 and 259,795.20 is: 389,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,606 : 810,121.66 = 259,795.20 : x
  2. Step 2: Convert to fraction form
    540,606/810,121.66 = 259,795.20/x
  3. Step 3: Cross multiply
    540,606x = 810,121.66 × 259,795.20
  4. Step 4: Simplify right side
    540,606x = 210,465,718,684.03
  5. Step 5: Solve for x
    x = 210,465,718,684.03/540,606
  6. Step 6: Final answer
    x = 389,314.43

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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.