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Finding the Fourth Proportional to 299,758.83, 413,654.36 and 163,790.61

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Solution

The fourth proportional to 299,758.83, 413,654.36 and 163,790.61 is: 226,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,758.83 : 413,654.36 = 163,790.61 : x
  2. Step 2: Convert to fraction form
    299,758.83/413,654.36 = 163,790.61/x
  3. Step 3: Cross multiply
    299,758.83x = 413,654.36 × 163,790.61
  4. Step 4: Simplify right side
    299,758.83x = 67,752,699,134.61
  5. Step 5: Solve for x
    x = 67,752,699,134.61/299,758.83
  6. Step 6: Final answer
    x = 226,024.03

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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.