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Finding the Fourth Proportional to 709,380.36, 978,947.37 and 387,097.56

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Solution

The fourth proportional to 709,380.36, 978,947.37 and 387,097.56 is: 534,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,380.36 : 978,947.37 = 387,097.56 : x
  2. Step 2: Convert to fraction form
    709,380.36/978,947.37 = 387,097.56/x
  3. Step 3: Cross multiply
    709,380.36x = 978,947.37 × 387,097.56
  4. Step 4: Simplify right side
    709,380.36x = 378,948,138,295.42
  5. Step 5: Solve for x
    x = 378,948,138,295.42/709,380.36
  6. Step 6: Final answer
    x = 534,195.98

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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.