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Finding the Fourth Proportional to 382,104.75, 573,226.30 and 157,342.61

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Solution

The fourth proportional to 382,104.75, 573,226.30 and 157,342.61 is: 236,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,104.75 : 573,226.30 = 157,342.61 : x
  2. Step 2: Convert to fraction form
    382,104.75/573,226.30 = 157,342.61/x
  3. Step 3: Cross multiply
    382,104.75x = 573,226.30 × 157,342.61
  4. Step 4: Simplify right side
    382,104.75x = 90,192,920,567.99
  5. Step 5: Solve for x
    x = 90,192,920,567.99/382,104.75
  6. Step 6: Final answer
    x = 236,042.40

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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.