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Finding the Fourth Proportional to 401,241.22, 601,940.55 and 148,523.92

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Solution

The fourth proportional to 401,241.22, 601,940.55 and 148,523.92 is: 222,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,241.22 : 601,940.55 = 148,523.92 : x
  2. Step 2: Convert to fraction form
    401,241.22/601,940.55 = 148,523.92/x
  3. Step 3: Cross multiply
    401,241.22x = 601,940.55 × 148,523.92
  4. Step 4: Simplify right side
    401,241.22x = 89,402,570,092.96
  5. Step 5: Solve for x
    x = 89,402,570,092.96/401,241.22
  6. Step 6: Final answer
    x = 222,815.02

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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.