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Finding the Fourth Proportional to 411,954.38, 618,019.79 and 127,638.63

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Solution

The fourth proportional to 411,954.38, 618,019.79 and 127,638.63 is: 191,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954.38 : 618,019.79 = 127,638.63 : x
  2. Step 2: Convert to fraction form
    411,954.38/618,019.79 = 127,638.63/x
  3. Step 3: Cross multiply
    411,954.38x = 618,019.79 × 127,638.63
  4. Step 4: Simplify right side
    411,954.38x = 78,883,198,670.29
  5. Step 5: Solve for x
    x = 78,883,198,670.29/411,954.38
  6. Step 6: Final answer
    x = 191,485.28

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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.