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Finding the Fourth Proportional to 422,214.60, 633,363.45 and 122,697.81

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Solution

The fourth proportional to 422,214.60, 633,363.45 and 122,697.81 is: 184,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,214.60 : 633,363.45 = 122,697.81 : x
  2. Step 2: Convert to fraction form
    422,214.60/633,363.45 = 122,697.81/x
  3. Step 3: Cross multiply
    422,214.60x = 633,363.45 × 122,697.81
  4. Step 4: Simplify right side
    422,214.60x = 77,712,308,249.04
  5. Step 5: Solve for x
    x = 77,712,308,249.04/422,214.60
  6. Step 6: Final answer
    x = 184,058.79

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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.