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Finding the Fourth Proportional to 367,819.38, 507,637.94 and 206,674.74

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Solution

The fourth proportional to 367,819.38, 507,637.94 and 206,674.74 is: 285,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,819.38 : 507,637.94 = 206,674.74 : x
  2. Step 2: Convert to fraction form
    367,819.38/507,637.94 = 206,674.74/x
  3. Step 3: Cross multiply
    367,819.38x = 507,637.94 × 206,674.74
  4. Step 4: Simplify right side
    367,819.38x = 104,915,938,230.26
  5. Step 5: Solve for x
    x = 104,915,938,230.26/367,819.38
  6. Step 6: Final answer
    x = 285,237.66

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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.