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Finding the Fourth Proportional to 516,195.51, 773,991.94 and 200,283.36

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Solution

The fourth proportional to 516,195.51, 773,991.94 and 200,283.36 is: 300,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,195.51 : 773,991.94 = 200,283.36 : x
  2. Step 2: Convert to fraction form
    516,195.51/773,991.94 = 200,283.36/x
  3. Step 3: Cross multiply
    516,195.51x = 773,991.94 × 200,283.36
  4. Step 4: Simplify right side
    516,195.51x = 155,017,706,356.12
  5. Step 5: Solve for x
    x = 155,017,706,356.12/516,195.51
  6. Step 6: Final answer
    x = 300,308.13

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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.