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Finding the Fourth Proportional to 414,902.40, 622,499.40 and 148,671.60

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Solution

The fourth proportional to 414,902.40, 622,499.40 and 148,671.60 is: 223,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902.40 : 622,499.40 = 148,671.60 : x
  2. Step 2: Convert to fraction form
    414,902.40/622,499.40 = 148,671.60/x
  3. Step 3: Cross multiply
    414,902.40x = 622,499.40 × 148,671.60
  4. Step 4: Simplify right side
    414,902.40x = 92,547,981,797.04
  5. Step 5: Solve for x
    x = 92,547,981,797.04/414,902.40
  6. Step 6: Final answer
    x = 223,059.64

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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.