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Finding the Fourth Proportional to 414,994.20, 622,564.20 and 148,909.20

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Solution

The fourth proportional to 414,994.20, 622,564.20 and 148,909.20 is: 223,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,994.20 : 622,564.20 = 148,909.20 : x
  2. Step 2: Convert to fraction form
    414,994.20/622,564.20 = 148,909.20/x
  3. Step 3: Cross multiply
    414,994.20x = 622,564.20 × 148,909.20
  4. Step 4: Simplify right side
    414,994.20x = 92,705,536,970.64
  5. Step 5: Solve for x
    x = 92,705,536,970.64/414,994.20
  6. Step 6: Final answer
    x = 223,389.96

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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.