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Finding the Fourth Proportional to 382,022.70, 573,034.05 and 115,770.03

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Solution

The fourth proportional to 382,022.70, 573,034.05 and 115,770.03 is: 173,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.70 : 573,034.05 = 115,770.03 : x
  2. Step 2: Convert to fraction form
    382,022.70/573,034.05 = 115,770.03/x
  3. Step 3: Cross multiply
    382,022.70x = 573,034.05 × 115,770.03
  4. Step 4: Simplify right side
    382,022.70x = 66,340,169,159.52
  5. Step 5: Solve for x
    x = 66,340,169,159.52/382,022.70
  6. Step 6: Final answer
    x = 173,655.05

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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.