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Finding the Fourth Proportional to 418,382.67, 627,324.55 and 165,699.42

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Solution

The fourth proportional to 418,382.67, 627,324.55 and 165,699.42 is: 248,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,382.67 : 627,324.55 = 165,699.42 : x
  2. Step 2: Convert to fraction form
    418,382.67/627,324.55 = 165,699.42/x
  3. Step 3: Cross multiply
    418,382.67x = 627,324.55 × 165,699.42
  4. Step 4: Simplify right side
    418,382.67x = 103,947,314,848.75
  5. Step 5: Solve for x
    x = 103,947,314,848.75/418,382.67
  6. Step 6: Final answer
    x = 248,450.34

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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.