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Finding the Fourth Proportional to 414,040.26, 621,191.68 and 147,794.88

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Solution

The fourth proportional to 414,040.26, 621,191.68 and 147,794.88 is: 221,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,040.26 : 621,191.68 = 147,794.88 : x
  2. Step 2: Convert to fraction form
    414,040.26/621,191.68 = 147,794.88/x
  3. Step 3: Cross multiply
    414,040.26x = 621,191.68 × 147,794.88
  4. Step 4: Simplify right side
    414,040.26x = 91,808,949,802.60
  5. Step 5: Solve for x
    x = 91,808,949,802.60/414,040.26
  6. Step 6: Final answer
    x = 221,739.18

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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.