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Finding the Fourth Proportional to 301,022.75, 415,476.20 and 180,191

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Solution

The fourth proportional to 301,022.75, 415,476.20 and 180,191 is: 248,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,022.75 : 415,476.20 = 180,191 : x
  2. Step 2: Convert to fraction form
    301,022.75/415,476.20 = 180,191/x
  3. Step 3: Cross multiply
    301,022.75x = 415,476.20 × 180,191
  4. Step 4: Simplify right side
    301,022.75x = 74,865,071,954.20
  5. Step 5: Solve for x
    x = 74,865,071,954.20/301,022.75
  6. Step 6: Final answer
    x = 248,702.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.