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Finding the Fourth Proportional to 516,194.51, 773,990.44 and 200,282.36

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Solution

The fourth proportional to 516,194.51, 773,990.44 and 200,282.36 is: 300,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,194.51 : 773,990.44 = 200,282.36 : x
  2. Step 2: Convert to fraction form
    516,194.51/773,990.44 = 200,282.36/x
  3. Step 3: Cross multiply
    516,194.51x = 773,990.44 × 200,282.36
  4. Step 4: Simplify right side
    516,194.51x = 155,016,627,569.98
  5. Step 5: Solve for x
    x = 155,016,627,569.98/516,194.51
  6. Step 6: Final answer
    x = 300,306.62

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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.