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Finding the Fourth Proportional to 382,337.64, 573,469.38 and 116,100.46

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Solution

The fourth proportional to 382,337.64, 573,469.38 and 116,100.46 is: 174,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,337.64 : 573,469.38 = 116,100.46 : x
  2. Step 2: Convert to fraction form
    382,337.64/573,469.38 = 116,100.46/x
  3. Step 3: Cross multiply
    382,337.64x = 573,469.38 × 116,100.46
  4. Step 4: Simplify right side
    382,337.64x = 66,580,058,813.91
  5. Step 5: Solve for x
    x = 66,580,058,813.91/382,337.64
  6. Step 6: Final answer
    x = 174,139.43

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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.