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Finding the Fourth Proportional to 422,214.10, 633,362.70 and 122,697.31

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Solution

The fourth proportional to 422,214.10, 633,362.70 and 122,697.31 is: 184,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,214.10 : 633,362.70 = 122,697.31 : x
  2. Step 2: Convert to fraction form
    422,214.10/633,362.70 = 122,697.31/x
  3. Step 3: Cross multiply
    422,214.10x = 633,362.70 × 122,697.31
  4. Step 4: Simplify right side
    422,214.10x = 77,711,899,544.34
  5. Step 5: Solve for x
    x = 77,711,899,544.34/422,214.10
  6. Step 6: Final answer
    x = 184,058.04

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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.