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Finding the Fourth Proportional to 414,120.60, 620,962.20 and 177,195.60

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Solution

The fourth proportional to 414,120.60, 620,962.20 and 177,195.60 is: 265,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,120.60 : 620,962.20 = 177,195.60 : x
  2. Step 2: Convert to fraction form
    414,120.60/620,962.20 = 177,195.60/x
  3. Step 3: Cross multiply
    414,120.60x = 620,962.20 × 177,195.60
  4. Step 4: Simplify right side
    414,120.60x = 110,031,769,606.32
  5. Step 5: Solve for x
    x = 110,031,769,606.32/414,120.60
  6. Step 6: Final answer
    x = 265,699.82

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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.