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Finding the Fourth Proportional to 414,338.82, 621,506.45 and 114,818.54

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Solution

The fourth proportional to 414,338.82, 621,506.45 and 114,818.54 is: 172,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,338.82 : 621,506.45 = 114,818.54 : x
  2. Step 2: Convert to fraction form
    414,338.82/621,506.45 = 114,818.54/x
  3. Step 3: Cross multiply
    414,338.82x = 621,506.45 × 114,818.54
  4. Step 4: Simplify right side
    414,338.82x = 71,360,459,507.96
  5. Step 5: Solve for x
    x = 71,360,459,507.96/414,338.82
  6. Step 6: Final answer
    x = 172,227.31

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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.