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Finding the Fourth Proportional to 414,425.60, 621,331.20 and 177,574.40

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Solution

The fourth proportional to 414,425.60, 621,331.20 and 177,574.40 is: 266,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,425.60 : 621,331.20 = 177,574.40 : x
  2. Step 2: Convert to fraction form
    414,425.60/621,331.20 = 177,574.40/x
  3. Step 3: Cross multiply
    414,425.60x = 621,331.20 × 177,574.40
  4. Step 4: Simplify right side
    414,425.60x = 110,332,515,041.28
  5. Step 5: Solve for x
    x = 110,332,515,041.28/414,425.60
  6. Step 6: Final answer
    x = 266,229.97

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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.