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Finding the Fourth Proportional to 382,991.12, 574,749.16 and 133,673.12

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Solution

The fourth proportional to 382,991.12, 574,749.16 and 133,673.12 is: 200,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,991.12 : 574,749.16 = 133,673.12 : x
  2. Step 2: Convert to fraction form
    382,991.12/574,749.16 = 133,673.12/x
  3. Step 3: Cross multiply
    382,991.12x = 574,749.16 × 133,673.12
  4. Step 4: Simplify right side
    382,991.12x = 76,828,513,434.58
  5. Step 5: Solve for x
    x = 76,828,513,434.58/382,991.12
  6. Step 6: Final answer
    x = 200,601.29

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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.