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Finding the Fourth Proportional to 418,280.36, 627,326.31 and 118,754.78

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Solution

The fourth proportional to 418,280.36, 627,326.31 and 118,754.78 is: 178,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,280.36 : 627,326.31 = 118,754.78 : x
  2. Step 2: Convert to fraction form
    418,280.36/627,326.31 = 118,754.78/x
  3. Step 3: Cross multiply
    418,280.36x = 627,326.31 × 118,754.78
  4. Step 4: Simplify right side
    418,280.36x = 74,497,997,932.26
  5. Step 5: Solve for x
    x = 74,497,997,932.26/418,280.36
  6. Step 6: Final answer
    x = 178,105.42

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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.