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Finding the Fourth Proportional to 401,352.30, 601,604.22 and 148,470.39

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Solution

The fourth proportional to 401,352.30, 601,604.22 and 148,470.39 is: 222,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,352.30 : 601,604.22 = 148,470.39 : x
  2. Step 2: Convert to fraction form
    401,352.30/601,604.22 = 148,470.39/x
  3. Step 3: Cross multiply
    401,352.30x = 601,604.22 × 148,470.39
  4. Step 4: Simplify right side
    401,352.30x = 89,320,413,169.05
  5. Step 5: Solve for x
    x = 89,320,413,169.05/401,352.30
  6. Step 6: Final answer
    x = 222,548.65

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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.