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Finding the Fourth Proportional to 422,009.60, 633,015.43 and 106,466.51

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Solution

The fourth proportional to 422,009.60, 633,015.43 and 106,466.51 is: 159,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,009.60 : 633,015.43 = 106,466.51 : x
  2. Step 2: Convert to fraction form
    422,009.60/633,015.43 = 106,466.51/x
  3. Step 3: Cross multiply
    422,009.60x = 633,015.43 × 106,466.51
  4. Step 4: Simplify right side
    422,009.60x = 67,394,943,608.25
  5. Step 5: Solve for x
    x = 67,394,943,608.25/422,009.60
  6. Step 6: Final answer
    x = 159,700.02

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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.