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Finding the Fourth Proportional to 1,412,921.07, 1,949,882.27 and 809,425.71

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Solution

The fourth proportional to 1,412,921.07, 1,949,882.27 and 809,425.71 is: 1,117,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,921.07 : 1,949,882.27 = 809,425.71 : x
  2. Step 2: Convert to fraction form
    1,412,921.07/1,949,882.27 = 809,425.71/x
  3. Step 3: Cross multiply
    1,412,921.07x = 1,949,882.27 × 809,425.71
  4. Step 4: Simplify right side
    1,412,921.07x = 1,578,284,840,811.16
  5. Step 5: Solve for x
    x = 1,578,284,840,811.16/1,412,921.07
  6. Step 6: Final answer
    x = 1,117,036.81

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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.