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Finding the Fourth Proportional to 3,428,614.70, 5,142,922.05 and 3,428,614.70

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Solution

The fourth proportional to 3,428,614.70, 5,142,922.05 and 3,428,614.70 is: 5,142,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,614.70 : 5,142,922.05 = 3,428,614.70 : x
  2. Step 2: Convert to fraction form
    3,428,614.70/5,142,922.05 = 3,428,614.70/x
  3. Step 3: Cross multiply
    3,428,614.70x = 5,142,922.05 × 3,428,614.70
  4. Step 4: Simplify right side
    3,428,614.70x = 17,633,098,141,584.14
  5. Step 5: Solve for x
    x = 17,633,098,141,584.14/3,428,614.70
  6. Step 6: Final answer
    x = 5,142,922.05

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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.