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Finding the Fourth Proportional to 382,228.39, 573,346.05 and 115,988.91

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Solution

The fourth proportional to 382,228.39, 573,346.05 and 115,988.91 is: 173,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,228.39 : 573,346.05 = 115,988.91 : x
  2. Step 2: Convert to fraction form
    382,228.39/573,346.05 = 115,988.91/x
  3. Step 3: Cross multiply
    382,228.39x = 573,346.05 × 115,988.91
  4. Step 4: Simplify right side
    382,228.39x = 66,501,782,812.36
  5. Step 5: Solve for x
    x = 66,501,782,812.36/382,228.39
  6. Step 6: Final answer
    x = 173,984.42

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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.