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Finding the Fourth Proportional to 382,144.98, 573,216.80 and 101,662.23

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Solution

The fourth proportional to 382,144.98, 573,216.80 and 101,662.23 is: 152,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,144.98 : 573,216.80 = 101,662.23 : x
  2. Step 2: Convert to fraction form
    382,144.98/573,216.80 = 101,662.23/x
  3. Step 3: Cross multiply
    382,144.98x = 573,216.80 × 101,662.23
  4. Step 4: Simplify right side
    382,144.98x = 58,274,497,653.15
  5. Step 5: Solve for x
    x = 58,274,497,653.15/382,144.98
  6. Step 6: Final answer
    x = 152,493.17

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1.5x scale

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.