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Finding the Fourth Proportional to 422,208.27, 633,313.62 and 102,358.89

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Solution

The fourth proportional to 422,208.27, 633,313.62 and 102,358.89 is: 153,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,208.27 : 633,313.62 = 102,358.89 : x
  2. Step 2: Convert to fraction form
    422,208.27/633,313.62 = 102,358.89/x
  3. Step 3: Cross multiply
    422,208.27x = 633,313.62 × 102,358.89
  4. Step 4: Simplify right side
    422,208.27x = 64,825,279,165.08
  5. Step 5: Solve for x
    x = 64,825,279,165.08/422,208.27
  6. Step 6: Final answer
    x = 153,538.63

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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.