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Finding the Fourth Proportional to 382,344.34, 573,585.78 and 157,579.66

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Solution

The fourth proportional to 382,344.34, 573,585.78 and 157,579.66 is: 236,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,344.34 : 573,585.78 = 157,579.66 : x
  2. Step 2: Convert to fraction form
    382,344.34/573,585.78 = 157,579.66/x
  3. Step 3: Cross multiply
    382,344.34x = 573,585.78 × 157,579.66
  4. Step 4: Simplify right side
    382,344.34x = 90,385,452,193.23
  5. Step 5: Solve for x
    x = 90,385,452,193.23/382,344.34
  6. Step 6: Final answer
    x = 236,398.04

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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.