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Finding the Fourth Proportional to 422,489.04, 633,734.03 and 106,945.94

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Solution

The fourth proportional to 422,489.04, 633,734.03 and 106,945.94 is: 160,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,489.04 : 633,734.03 = 106,945.94 : x
  2. Step 2: Convert to fraction form
    422,489.04/633,734.03 = 106,945.94/x
  3. Step 3: Cross multiply
    422,489.04x = 633,734.03 × 106,945.94
  4. Step 4: Simplify right side
    422,489.04x = 67,775,281,548.34
  5. Step 5: Solve for x
    x = 67,775,281,548.34/422,489.04
  6. Step 6: Final answer
    x = 160,419.03

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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.