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Finding the Fourth Proportional to 411,955.88, 618,022.04 and 127,640.13

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Solution

The fourth proportional to 411,955.88, 618,022.04 and 127,640.13 is: 191,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,955.88 : 618,022.04 = 127,640.13 : x
  2. Step 2: Convert to fraction form
    411,955.88/618,022.04 = 127,640.13/x
  3. Step 3: Cross multiply
    411,955.88x = 618,022.04 × 127,640.13
  4. Step 4: Simplify right side
    411,955.88x = 78,884,413,528.47
  5. Step 5: Solve for x
    x = 78,884,413,528.47/411,955.88
  6. Step 6: Final answer
    x = 191,487.53

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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.