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Finding the Fourth Proportional to 414,921.60, 622,382.40 and 414,921.60

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Solution

The fourth proportional to 414,921.60, 622,382.40 and 414,921.60 is: 622,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,921.60 : 622,382.40 = 414,921.60 : x
  2. Step 2: Convert to fraction form
    414,921.60/622,382.40 = 414,921.60/x
  3. Step 3: Cross multiply
    414,921.60x = 622,382.40 × 414,921.60
  4. Step 4: Simplify right side
    414,921.60x = 258,239,901,219.84
  5. Step 5: Solve for x
    x = 258,239,901,219.84/414,921.60
  6. Step 6: Final answer
    x = 622,382.40

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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.