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Finding the Fourth Proportional to 516,201.42, 774,302.14 and 200,732.14

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Solution

The fourth proportional to 516,201.42, 774,302.14 and 200,732.14 is: 301,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,201.42 : 774,302.14 = 200,732.14 : x
  2. Step 2: Convert to fraction form
    516,201.42/774,302.14 = 200,732.14/x
  3. Step 3: Cross multiply
    516,201.42x = 774,302.14 × 200,732.14
  4. Step 4: Simplify right side
    516,201.42x = 155,427,325,568.78
  5. Step 5: Solve for x
    x = 155,427,325,568.78/516,201.42
  6. Step 6: Final answer
    x = 301,098.21

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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.