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Finding the Fourth Proportional to 294,852.72, 406,575.20 and 199,193.32

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Solution

The fourth proportional to 294,852.72, 406,575.20 and 199,193.32 is: 274,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,852.72 : 406,575.20 = 199,193.32 : x
  2. Step 2: Convert to fraction form
    294,852.72/406,575.20 = 199,193.32/x
  3. Step 3: Cross multiply
    294,852.72x = 406,575.20 × 199,193.32
  4. Step 4: Simplify right side
    294,852.72x = 80,987,063,917.66
  5. Step 5: Solve for x
    x = 80,987,063,917.66/294,852.72
  6. Step 6: Final answer
    x = 274,669.55

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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.