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Finding the Fourth Proportional to 382,384.80, 573,653.82 and 214,144.44

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Solution

The fourth proportional to 382,384.80, 573,653.82 and 214,144.44 is: 321,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,384.80 : 573,653.82 = 214,144.44 : x
  2. Step 2: Convert to fraction form
    382,384.80/573,653.82 = 214,144.44/x
  3. Step 3: Cross multiply
    382,384.80x = 573,653.82 × 214,144.44
  4. Step 4: Simplify right side
    382,384.80x = 122,844,776,037.76
  5. Step 5: Solve for x
    x = 122,844,776,037.76/382,384.80
  6. Step 6: Final answer
    x = 321,259.57

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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.