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Finding the Fourth Proportional to 342,852.33, 473,139.68 and 206,859.96

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Solution

The fourth proportional to 342,852.33, 473,139.68 and 206,859.96 is: 285,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,852.33 : 473,139.68 = 206,859.96 : x
  2. Step 2: Convert to fraction form
    342,852.33/473,139.68 = 206,859.96/x
  3. Step 3: Cross multiply
    342,852.33x = 473,139.68 × 206,859.96
  4. Step 4: Simplify right side
    342,852.33x = 97,873,654,244.91
  5. Step 5: Solve for x
    x = 97,873,654,244.91/342,852.33
  6. Step 6: Final answer
    x = 285,468.83

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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.