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Finding the Fourth Proportional to 382,343.34, 573,584.28 and 157,578.66

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Solution

The fourth proportional to 382,343.34, 573,584.28 and 157,578.66 is: 236,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,343.34 : 573,584.28 = 157,578.66 : x
  2. Step 2: Convert to fraction form
    382,343.34/573,584.28 = 157,578.66/x
  3. Step 3: Cross multiply
    382,343.34x = 573,584.28 × 157,578.66
  4. Step 4: Simplify right side
    382,343.34x = 90,384,642,239.46
  5. Step 5: Solve for x
    x = 90,384,642,239.46/382,343.34
  6. Step 6: Final answer
    x = 236,396.54

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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.