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Finding the Fourth Proportional to 414,181.80, 621,152.40 and 161,405.88

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Solution

The fourth proportional to 414,181.80, 621,152.40 and 161,405.88 is: 242,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,181.80 : 621,152.40 = 161,405.88 : x
  2. Step 2: Convert to fraction form
    414,181.80/621,152.40 = 161,405.88/x
  3. Step 3: Cross multiply
    414,181.80x = 621,152.40 × 161,405.88
  4. Step 4: Simplify right side
    414,181.80x = 100,257,649,736.11
  5. Step 5: Solve for x
    x = 100,257,649,736.11/414,181.80
  6. Step 6: Final answer
    x = 242,061.94

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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.