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Finding the Fourth Proportional to 762,286.40, 1,052,019.84 and 422,864

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Solution

The fourth proportional to 762,286.40, 1,052,019.84 and 422,864 is: 583,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,286.40 : 1,052,019.84 = 422,864 : x
  2. Step 2: Convert to fraction form
    762,286.40/1,052,019.84 = 422,864/x
  3. Step 3: Cross multiply
    762,286.40x = 1,052,019.84 × 422,864
  4. Step 4: Simplify right side
    762,286.40x = 444,861,317,621.76
  5. Step 5: Solve for x
    x = 444,861,317,621.76/762,286.40
  6. Step 6: Final answer
    x = 583,588.16

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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.