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Finding the Fourth Proportional to 299,790.56, 413,711.04 and 165,654.56

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Solution

The fourth proportional to 299,790.56, 413,711.04 and 165,654.56 is: 228,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,790.56 : 413,711.04 = 165,654.56 : x
  2. Step 2: Convert to fraction form
    299,790.56/413,711.04 = 165,654.56/x
  3. Step 3: Cross multiply
    299,790.56x = 413,711.04 × 165,654.56
  4. Step 4: Simplify right side
    299,790.56x = 68,533,120,298.34
  5. Step 5: Solve for x
    x = 68,533,120,298.34/299,790.56
  6. Step 6: Final answer
    x = 228,603.33

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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.