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Finding the Fourth Proportional to 709,086.11, 978,545.07 and 386,797.64

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Solution

The fourth proportional to 709,086.11, 978,545.07 and 386,797.64 is: 533,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,086.11 : 978,545.07 = 386,797.64 : x
  2. Step 2: Convert to fraction form
    709,086.11/978,545.07 = 386,797.64/x
  3. Step 3: Cross multiply
    709,086.11x = 978,545.07 × 386,797.64
  4. Step 4: Simplify right side
    709,086.11x = 378,498,918,816.91
  5. Step 5: Solve for x
    x = 378,498,918,816.91/709,086.11
  6. Step 6: Final answer
    x = 533,784.14

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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.