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Finding the Fourth Proportional to 422,581.86, 633,896.01 and 107,041.50

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Solution

The fourth proportional to 422,581.86, 633,896.01 and 107,041.50 is: 160,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,581.86 : 633,896.01 = 107,041.50 : x
  2. Step 2: Convert to fraction form
    422,581.86/633,896.01 = 107,041.50/x
  3. Step 3: Cross multiply
    422,581.86x = 633,896.01 × 107,041.50
  4. Step 4: Simplify right side
    422,581.86x = 67,853,179,754.42
  5. Step 5: Solve for x
    x = 67,853,179,754.42/422,581.86
  6. Step 6: Final answer
    x = 160,568.13

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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.