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Finding the Fourth Proportional to 367,885.82, 507,675.65 and 206,738.55

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Solution

The fourth proportional to 367,885.82, 507,675.65 and 206,738.55 is: 285,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,885.82 : 507,675.65 = 206,738.55 : x
  2. Step 2: Convert to fraction form
    367,885.82/507,675.65 = 206,738.55/x
  3. Step 3: Cross multiply
    367,885.82x = 507,675.65 × 206,738.55
  4. Step 4: Simplify right side
    367,885.82x = 104,956,126,717.62
  5. Step 5: Solve for x
    x = 104,956,126,717.62/367,885.82
  6. Step 6: Final answer
    x = 285,295.39

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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.