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Finding the Fourth Proportional to 381,965.40, 573,072.30 and 182,259.90

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Solution

The fourth proportional to 381,965.40, 573,072.30 and 182,259.90 is: 273,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,965.40 : 573,072.30 = 182,259.90 : x
  2. Step 2: Convert to fraction form
    381,965.40/573,072.30 = 182,259.90/x
  3. Step 3: Cross multiply
    381,965.40x = 573,072.30 × 182,259.90
  4. Step 4: Simplify right side
    381,965.40x = 104,448,100,090.77
  5. Step 5: Solve for x
    x = 104,448,100,090.77/381,965.40
  6. Step 6: Final answer
    x = 273,449.11

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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.