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Finding the Fourth Proportional to 382,684.62, 574,065.84 and 102,221.58

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Solution

The fourth proportional to 382,684.62, 574,065.84 and 102,221.58 is: 153,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,684.62 : 574,065.84 = 102,221.58 : x
  2. Step 2: Convert to fraction form
    382,684.62/574,065.84 = 102,221.58/x
  3. Step 3: Cross multiply
    382,684.62x = 574,065.84 × 102,221.58
  4. Step 4: Simplify right side
    382,684.62x = 58,681,917,188.83
  5. Step 5: Solve for x
    x = 58,681,917,188.83/382,684.62
  6. Step 6: Final answer
    x = 153,342.76

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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.