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Finding the Fourth Proportional to 414,769.20, 622,153.80 and 148,538.40

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Solution

The fourth proportional to 414,769.20, 622,153.80 and 148,538.40 is: 222,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,769.20 : 622,153.80 = 148,538.40 : x
  2. Step 2: Convert to fraction form
    414,769.20/622,153.80 = 148,538.40/x
  3. Step 3: Cross multiply
    414,769.20x = 622,153.80 × 148,538.40
  4. Step 4: Simplify right side
    414,769.20x = 92,413,730,005.92
  5. Step 5: Solve for x
    x = 92,413,730,005.92/414,769.20
  6. Step 6: Final answer
    x = 222,807.60

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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.