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Finding the Fourth Proportional to 422,669.08, 583,290.38 and 229,082.97

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Solution

The fourth proportional to 422,669.08, 583,290.38 and 229,082.97 is: 316,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,669.08 : 583,290.38 = 229,082.97 : x
  2. Step 2: Convert to fraction form
    422,669.08/583,290.38 = 229,082.97/x
  3. Step 3: Cross multiply
    422,669.08x = 583,290.38 × 229,082.97
  4. Step 4: Simplify right side
    422,669.08x = 133,621,892,622.83
  5. Step 5: Solve for x
    x = 133,621,892,622.83/422,669.08
  6. Step 6: Final answer
    x = 316,138.32

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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.