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Finding the Fourth Proportional to 290,876.49, 401,078.61 and 204,807.96

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Solution

The fourth proportional to 290,876.49, 401,078.61 and 204,807.96 is: 282,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,876.49 : 401,078.61 = 204,807.96 : x
  2. Step 2: Convert to fraction form
    290,876.49/401,078.61 = 204,807.96/x
  3. Step 3: Cross multiply
    290,876.49x = 401,078.61 × 204,807.96
  4. Step 4: Simplify right side
    290,876.49x = 82,144,091,913.74
  5. Step 5: Solve for x
    x = 82,144,091,913.74/290,876.49
  6. Step 6: Final answer
    x = 282,401.96

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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.