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Finding the Fourth Proportional to 367,884.32, 507,673.58 and 206,737.04

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Solution

The fourth proportional to 367,884.32, 507,673.58 and 206,737.04 is: 285,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,884.32 : 507,673.58 = 206,737.04 : x
  2. Step 2: Convert to fraction form
    367,884.32/507,673.58 = 206,737.04/x
  3. Step 3: Cross multiply
    367,884.32x = 507,673.58 × 206,737.04
  4. Step 4: Simplify right side
    367,884.32x = 104,954,933,450.90
  5. Step 5: Solve for x
    x = 104,954,933,450.90/367,884.32
  6. Step 6: Final answer
    x = 285,293.31

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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.