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Finding the Fourth Proportional to 709,200.57, 978,694.65 and 386,908.38

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Solution

The fourth proportional to 709,200.57, 978,694.65 and 386,908.38 is: 533,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,200.57 : 978,694.65 = 386,908.38 : x
  2. Step 2: Convert to fraction form
    709,200.57/978,694.65 = 386,908.38/x
  3. Step 3: Cross multiply
    709,200.57x = 978,694.65 × 386,908.38
  4. Step 4: Simplify right side
    709,200.57x = 378,665,161,546.17
  5. Step 5: Solve for x
    x = 378,665,161,546.17/709,200.57
  6. Step 6: Final answer
    x = 533,932.40

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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.