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Finding the Fourth Proportional to 414,458.07, 621,687.10 and 148,202.43

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Solution

The fourth proportional to 414,458.07, 621,687.10 and 148,202.43 is: 222,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,458.07 : 621,687.10 = 148,202.43 : x
  2. Step 2: Convert to fraction form
    414,458.07/621,687.10 = 148,202.43/x
  3. Step 3: Cross multiply
    414,458.07x = 621,687.10 × 148,202.43
  4. Step 4: Simplify right side
    414,458.07x = 92,135,541,741.18
  5. Step 5: Solve for x
    x = 92,135,541,741.18/414,458.07
  6. Step 6: Final answer
    x = 222,303.65

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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.