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Finding the Fourth Proportional to 367,811.50, 507,594.78 and 206,666.04

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Solution

The fourth proportional to 367,811.50, 507,594.78 and 206,666.04 is: 285,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,811.50 : 507,594.78 = 206,666.04 : x
  2. Step 2: Convert to fraction form
    367,811.50/507,594.78 = 206,666.04/x
  3. Step 3: Cross multiply
    367,811.50x = 507,594.78 × 206,666.04
  4. Step 4: Simplify right side
    367,811.50x = 104,902,603,107.27
  5. Step 5: Solve for x
    x = 104,902,603,107.27/367,811.50
  6. Step 6: Final answer
    x = 285,207.51

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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.