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Finding the Fourth Proportional to 418,405.78, 627,594.09 and 134,092.15

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Solution

The fourth proportional to 418,405.78, 627,594.09 and 134,092.15 is: 201,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,405.78 : 627,594.09 = 134,092.15 : x
  2. Step 2: Convert to fraction form
    418,405.78/627,594.09 = 134,092.15/x
  3. Step 3: Cross multiply
    418,405.78x = 627,594.09 × 134,092.15
  4. Step 4: Simplify right side
    418,405.78x = 84,155,440,855.39
  5. Step 5: Solve for x
    x = 84,155,440,855.39/418,405.78
  6. Step 6: Final answer
    x = 201,133.55

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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.