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Finding the Fourth Proportional to 1,428,843.98, 1,971,797.76 and 784,275.14

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Solution

The fourth proportional to 1,428,843.98, 1,971,797.76 and 784,275.14 is: 1,082,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,843.98 : 1,971,797.76 = 784,275.14 : x
  2. Step 2: Convert to fraction form
    1,428,843.98/1,971,797.76 = 784,275.14/x
  3. Step 3: Cross multiply
    1,428,843.98x = 1,971,797.76 × 784,275.14
  4. Step 4: Simplify right side
    1,428,843.98x = 1,546,431,954,416.70
  5. Step 5: Solve for x
    x = 1,546,431,954,416.70/1,428,843.98
  6. Step 6: Final answer
    x = 1,082,295.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.