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Finding the Fourth Proportional to 302,208.67, 417,010.12 and 204,304.98

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Solution

The fourth proportional to 302,208.67, 417,010.12 and 204,304.98 is: 281,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,208.67 : 417,010.12 = 204,304.98 : x
  2. Step 2: Convert to fraction form
    302,208.67/417,010.12 = 204,304.98/x
  3. Step 3: Cross multiply
    302,208.67x = 417,010.12 × 204,304.98
  4. Step 4: Simplify right side
    302,208.67x = 85,197,244,226.40
  5. Step 5: Solve for x
    x = 85,197,244,226.40/302,208.67
  6. Step 6: Final answer
    x = 281,915.29

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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.