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Finding the Fourth Proportional to 411,960.96, 618,029.60 and 127,645.20

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Solution

The fourth proportional to 411,960.96, 618,029.60 and 127,645.20 is: 191,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,960.96 : 618,029.60 = 127,645.20 : x
  2. Step 2: Convert to fraction form
    411,960.96/618,029.60 = 127,645.20/x
  3. Step 3: Cross multiply
    411,960.96x = 618,029.60 × 127,645.20
  4. Step 4: Simplify right side
    411,960.96x = 78,888,511,259.69
  5. Step 5: Solve for x
    x = 78,888,511,259.69/411,960.96
  6. Step 6: Final answer
    x = 191,495.11

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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.