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Finding the Fourth Proportional to 338,370.98, 507,002.76 and 204,846.53

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Solution

The fourth proportional to 338,370.98, 507,002.76 and 204,846.53 is: 306,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,370.98 : 507,002.76 = 204,846.53 : x
  2. Step 2: Convert to fraction form
    338,370.98/507,002.76 = 204,846.53/x
  3. Step 3: Cross multiply
    338,370.98x = 507,002.76 × 204,846.53
  4. Step 4: Simplify right side
    338,370.98x = 103,857,753,551.41
  5. Step 5: Solve for x
    x = 103,857,753,551.41/338,370.98
  6. Step 6: Final answer
    x = 306,934.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.