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Finding the Fourth Proportional to 414,663.61, 622,023.66 and 140,998.37

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Solution

The fourth proportional to 414,663.61, 622,023.66 and 140,998.37 is: 211,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,663.61 : 622,023.66 = 140,998.37 : x
  2. Step 2: Convert to fraction form
    414,663.61/622,023.66 = 140,998.37/x
  3. Step 3: Cross multiply
    414,663.61x = 622,023.66 × 140,998.37
  4. Step 4: Simplify right side
    414,663.61x = 87,704,323,364.00
  5. Step 5: Solve for x
    x = 87,704,323,364.00/414,663.61
  6. Step 6: Final answer
    x = 211,507.16

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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.