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Finding the Fourth Proportional to 538,107.74, 806,881.20 and 200,871.02

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Solution

The fourth proportional to 538,107.74, 806,881.20 and 200,871.02 is: 301,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,107.74 : 806,881.20 = 200,871.02 : x
  2. Step 2: Convert to fraction form
    538,107.74/806,881.20 = 200,871.02/x
  3. Step 3: Cross multiply
    538,107.74x = 806,881.20 × 200,871.02
  4. Step 4: Simplify right side
    538,107.74x = 162,079,050,926.76
  5. Step 5: Solve for x
    x = 162,079,050,926.76/538,107.74
  6. Step 6: Final answer
    x = 301,201.86

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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.