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Finding the Fourth Proportional to 367,438.77, 507,026.25 and 206,311.50

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Solution

The fourth proportional to 367,438.77, 507,026.25 and 206,311.50 is: 284,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,438.77 : 507,026.25 = 206,311.50 : x
  2. Step 2: Convert to fraction form
    367,438.77/507,026.25 = 206,311.50/x
  3. Step 3: Cross multiply
    367,438.77x = 507,026.25 × 206,311.50
  4. Step 4: Simplify right side
    367,438.77x = 104,605,346,176.88
  5. Step 5: Solve for x
    x = 104,605,346,176.88/367,438.77
  6. Step 6: Final answer
    x = 284,687.83

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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.