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Finding the Fourth Proportional to 367,871.38, 507,672.62 and 206,741.12

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Solution

The fourth proportional to 367,871.38, 507,672.62 and 206,741.12 is: 285,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,871.38 : 507,672.62 = 206,741.12 : x
  2. Step 2: Convert to fraction form
    367,871.38/507,672.62 = 206,741.12/x
  3. Step 3: Cross multiply
    367,871.38x = 507,672.62 × 206,741.12
  4. Step 4: Simplify right side
    367,871.38x = 104,956,806,052.13
  5. Step 5: Solve for x
    x = 104,956,806,052.13/367,871.38
  6. Step 6: Final answer
    x = 285,308.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.