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Finding the Fourth Proportional to 290,385.38, 400,736.49 and 163,058.24

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Solution

The fourth proportional to 290,385.38, 400,736.49 and 163,058.24 is: 225,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,385.38 : 400,736.49 = 163,058.24 : x
  2. Step 2: Convert to fraction form
    290,385.38/400,736.49 = 163,058.24/x
  3. Step 3: Cross multiply
    290,385.38x = 400,736.49 × 163,058.24
  4. Step 4: Simplify right side
    290,385.38x = 65,343,386,763.18
  5. Step 5: Solve for x
    x = 65,343,386,763.18/290,385.38
  6. Step 6: Final answer
    x = 225,022.99

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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.