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Finding the Fourth Proportional to 517,723.65, 776,268.36 and 201,811.50

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Solution

The fourth proportional to 517,723.65, 776,268.36 and 201,811.50 is: 302,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,723.65 : 776,268.36 = 201,811.50 : x
  2. Step 2: Convert to fraction form
    517,723.65/776,268.36 = 201,811.50/x
  3. Step 3: Cross multiply
    517,723.65x = 776,268.36 × 201,811.50
  4. Step 4: Simplify right side
    517,723.65x = 156,659,882,134.14
  5. Step 5: Solve for x
    x = 156,659,882,134.14/517,723.65
  6. Step 6: Final answer
    x = 302,593.64

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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.