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Finding the Fourth Proportional to 414,083.84, 620,874.95 and 270,097.25

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Solution

The fourth proportional to 414,083.84, 620,874.95 and 270,097.25 is: 404,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083.84 : 620,874.95 = 270,097.25 : x
  2. Step 2: Convert to fraction form
    414,083.84/620,874.95 = 270,097.25/x
  3. Step 3: Cross multiply
    414,083.84x = 620,874.95 × 270,097.25
  4. Step 4: Simplify right side
    414,083.84x = 167,696,612,134.03
  5. Step 5: Solve for x
    x = 167,696,612,134.03/414,083.84
  6. Step 6: Final answer
    x = 404,982.27

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1.5x scale

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.