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Finding the Fourth Proportional to 422,156.05, 633,352.45 and 169,613.87

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Solution

The fourth proportional to 422,156.05, 633,352.45 and 169,613.87 is: 254,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,156.05 : 633,352.45 = 169,613.87 : x
  2. Step 2: Convert to fraction form
    422,156.05/633,352.45 = 169,613.87/x
  3. Step 3: Cross multiply
    422,156.05x = 633,352.45 × 169,613.87
  4. Step 4: Simplify right side
    422,156.05x = 107,425,356,845.71
  5. Step 5: Solve for x
    x = 107,425,356,845.71/422,156.05
  6. Step 6: Final answer
    x = 254,468.36

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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.