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Finding the Fourth Proportional to 342,654.56, 513,686.22 and 164,917.04

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Solution

The fourth proportional to 342,654.56, 513,686.22 and 164,917.04 is: 247,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,654.56 : 513,686.22 = 164,917.04 : x
  2. Step 2: Convert to fraction form
    342,654.56/513,686.22 = 164,917.04/x
  3. Step 3: Cross multiply
    342,654.56x = 513,686.22 × 164,917.04
  4. Step 4: Simplify right side
    342,654.56x = 84,715,610,891.19
  5. Step 5: Solve for x
    x = 84,715,610,891.19/342,654.56
  6. Step 6: Final answer
    x = 247,233.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.