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Finding the Fourth Proportional to 302,208.17, 417,009.44 and 204,304.49

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Solution

The fourth proportional to 302,208.17, 417,009.44 and 204,304.49 is: 281,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,208.17 : 417,009.44 = 204,304.49 : x
  2. Step 2: Convert to fraction form
    302,208.17/417,009.44 = 204,304.49/x
  3. Step 3: Cross multiply
    302,208.17x = 417,009.44 × 204,304.49
  4. Step 4: Simplify right side
    302,208.17x = 85,196,897,857.82
  5. Step 5: Solve for x
    x = 85,196,897,857.82/302,208.17
  6. Step 6: Final answer
    x = 281,914.61

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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.