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Finding the Fourth Proportional to 703,864, 1,055,972.04 and 205,228

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Solution

The fourth proportional to 703,864, 1,055,972.04 and 205,228 is: 307,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,864 : 1,055,972.04 = 205,228 : x
  2. Step 2: Convert to fraction form
    703,864/1,055,972.04 = 205,228/x
  3. Step 3: Cross multiply
    703,864x = 1,055,972.04 × 205,228
  4. Step 4: Simplify right side
    703,864x = 216,715,029,825.12
  5. Step 5: Solve for x
    x = 216,715,029,825.12/703,864
  6. Step 6: Final answer
    x = 307,893.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.