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Finding the Fourth Proportional to 1,419,523.80, 1,958,972.49 and 774,971.16

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Solution

The fourth proportional to 1,419,523.80, 1,958,972.49 and 774,971.16 is: 1,069,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,523.80 : 1,958,972.49 = 774,971.16 : x
  2. Step 2: Convert to fraction form
    1,419,523.80/1,958,972.49 = 774,971.16/x
  3. Step 3: Cross multiply
    1,419,523.80x = 1,958,972.49 × 774,971.16
  4. Step 4: Simplify right side
    1,419,523.80x = 1,518,147,182,983.39
  5. Step 5: Solve for x
    x = 1,518,147,182,983.39/1,419,523.80
  6. Step 6: Final answer
    x = 1,069,476.39

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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.