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Finding the Fourth Proportional to 367,867.37, 507,667.10 and 206,737.11

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Solution

The fourth proportional to 367,867.37, 507,667.10 and 206,737.11 is: 285,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,867.37 : 507,667.10 = 206,737.11 : x
  2. Step 2: Convert to fraction form
    367,867.37/507,667.10 = 206,737.11/x
  3. Step 3: Cross multiply
    367,867.37x = 507,667.10 × 206,737.11
  4. Step 4: Simplify right side
    367,867.37x = 104,953,628,062.40
  5. Step 5: Solve for x
    x = 104,953,628,062.40/367,867.37
  6. Step 6: Final answer
    x = 285,302.90

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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.