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Finding the Fourth Proportional to 342,498.60, 472,838.09 and 206,566.83

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Solution

The fourth proportional to 342,498.60, 472,838.09 and 206,566.83 is: 285,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,498.60 : 472,838.09 = 206,566.83 : x
  2. Step 2: Convert to fraction form
    342,498.60/472,838.09 = 206,566.83/x
  3. Step 3: Cross multiply
    342,498.60x = 472,838.09 × 206,566.83
  4. Step 4: Simplify right side
    342,498.60x = 97,672,664,321.72
  5. Step 5: Solve for x
    x = 97,672,664,321.72/342,498.60
  6. Step 6: Final answer
    x = 285,176.83

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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.