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Finding the Fourth Proportional to 382,178.44, 573,498.06 and 133,035.40

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Solution

The fourth proportional to 382,178.44, 573,498.06 and 133,035.40 is: 199,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,178.44 : 573,498.06 = 133,035.40 : x
  2. Step 2: Convert to fraction form
    382,178.44/573,498.06 = 133,035.40/x
  3. Step 3: Cross multiply
    382,178.44x = 573,498.06 × 133,035.40
  4. Step 4: Simplify right side
    382,178.44x = 76,295,543,811.32
  5. Step 5: Solve for x
    x = 76,295,543,811.32/382,178.44
  6. Step 6: Final answer
    x = 199,633.30

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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.