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Finding the Fourth Proportional to 382,347.14, 573,422.30 and 157,771.40

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Solution

The fourth proportional to 382,347.14, 573,422.30 and 157,771.40 is: 236,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,347.14 : 573,422.30 = 157,771.40 : x
  2. Step 2: Convert to fraction form
    382,347.14/573,422.30 = 157,771.40/x
  3. Step 3: Cross multiply
    382,347.14x = 573,422.30 × 157,771.40
  4. Step 4: Simplify right side
    382,347.14x = 90,469,639,062.22
  5. Step 5: Solve for x
    x = 90,469,639,062.22/382,347.14
  6. Step 6: Final answer
    x = 236,616.49

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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.