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Finding the Fourth Proportional to 367,762, 507,518.28 and 204,433.84

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Solution

The fourth proportional to 367,762, 507,518.28 and 204,433.84 is: 282,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,762 : 507,518.28 = 204,433.84 : x
  2. Step 2: Convert to fraction form
    367,762/507,518.28 = 204,433.84/x
  3. Step 3: Cross multiply
    367,762x = 507,518.28 × 204,433.84
  4. Step 4: Simplify right side
    367,762x = 103,753,910,850.60
  5. Step 5: Solve for x
    x = 103,753,910,850.60/367,762
  6. Step 6: Final answer
    x = 282,122.43

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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.