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Finding the Fourth Proportional to 418,179.14, 627,019.59 and 165,495.56

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Solution

The fourth proportional to 418,179.14, 627,019.59 and 165,495.56 is: 248,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,179.14 : 627,019.59 = 165,495.56 : x
  2. Step 2: Convert to fraction form
    418,179.14/627,019.59 = 165,495.56/x
  3. Step 3: Cross multiply
    418,179.14x = 627,019.59 × 165,495.56
  4. Step 4: Simplify right side
    418,179.14x = 103,768,955,042.92
  5. Step 5: Solve for x
    x = 103,768,955,042.92/418,179.14
  6. Step 6: Final answer
    x = 248,144.75

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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.