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Finding the Fourth Proportional to 414,751.20, 622,126.80 and 148,520.40

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Solution

The fourth proportional to 414,751.20, 622,126.80 and 148,520.40 is: 222,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,751.20 : 622,126.80 = 148,520.40 : x
  2. Step 2: Convert to fraction form
    414,751.20/622,126.80 = 148,520.40/x
  3. Step 3: Cross multiply
    414,751.20x = 622,126.80 × 148,520.40
  4. Step 4: Simplify right side
    414,751.20x = 92,398,521,186.72
  5. Step 5: Solve for x
    x = 92,398,521,186.72/414,751.20
  6. Step 6: Final answer
    x = 222,780.60

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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.