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Finding the Fourth Proportional to 342,430.44, 472,744.05 and 206,498.82

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Solution

The fourth proportional to 342,430.44, 472,744.05 and 206,498.82 is: 285,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,430.44 : 472,744.05 = 206,498.82 : x
  2. Step 2: Convert to fraction form
    342,430.44/472,744.05 = 206,498.82/x
  3. Step 3: Cross multiply
    342,430.44x = 472,744.05 × 206,498.82
  4. Step 4: Simplify right side
    342,430.44x = 97,621,086,826.26
  5. Step 5: Solve for x
    x = 97,621,086,826.26/342,430.44
  6. Step 6: Final answer
    x = 285,082.97

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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.