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Finding the Fourth Proportional to 367,700.41, 507,371.31 and 206,524.59

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Solution

The fourth proportional to 367,700.41, 507,371.31 and 206,524.59 is: 284,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,700.41 : 507,371.31 = 206,524.59 : x
  2. Step 2: Convert to fraction form
    367,700.41/507,371.31 = 206,524.59/x
  3. Step 3: Cross multiply
    367,700.41x = 507,371.31 × 206,524.59
  4. Step 4: Simplify right side
    367,700.41x = 104,784,650,742.89
  5. Step 5: Solve for x
    x = 104,784,650,742.89/367,700.41
  6. Step 6: Final answer
    x = 284,972.90

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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.