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Finding the Fourth Proportional to 414,768.40, 621,640.60 and 281,648.40

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Solution

The fourth proportional to 414,768.40, 621,640.60 and 281,648.40 is: 422,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,768.40 : 621,640.60 = 281,648.40 : x
  2. Step 2: Convert to fraction form
    414,768.40/621,640.60 = 281,648.40/x
  3. Step 3: Cross multiply
    414,768.40x = 621,640.60 × 281,648.40
  4. Step 4: Simplify right side
    414,768.40x = 175,084,080,365.04
  5. Step 5: Solve for x
    x = 175,084,080,365.04/414,768.40
  6. Step 6: Final answer
    x = 422,124.93

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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.