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Finding the Fourth Proportional to 382,894.49, 574,535.49 and 158,416.03

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Solution

The fourth proportional to 382,894.49, 574,535.49 and 158,416.03 is: 237,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,894.49 : 574,535.49 = 158,416.03 : x
  2. Step 2: Convert to fraction form
    382,894.49/574,535.49 = 158,416.03/x
  3. Step 3: Cross multiply
    382,894.49x = 574,535.49 × 158,416.03
  4. Step 4: Simplify right side
    382,894.49x = 91,015,631,042.00
  5. Step 5: Solve for x
    x = 91,015,631,042.00/382,894.49
  6. Step 6: Final answer
    x = 237,704.21

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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.