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Finding the Fourth Proportional to 422,247.95, 633,631.89 and 166,035.44

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Solution

The fourth proportional to 422,247.95, 633,631.89 and 166,035.44 is: 249,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,247.95 : 633,631.89 = 166,035.44 : x
  2. Step 2: Convert to fraction form
    422,247.95/633,631.89 = 166,035.44/x
  3. Step 3: Cross multiply
    422,247.95x = 633,631.89 × 166,035.44
  4. Step 4: Simplify right side
    422,247.95x = 105,205,346,486.02
  5. Step 5: Solve for x
    x = 105,205,346,486.02/422,247.95
  6. Step 6: Final answer
    x = 249,155.37

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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.