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Finding the Fourth Proportional to 400,950.24, 601,352.69 and 161,054.48

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Solution

The fourth proportional to 400,950.24, 601,352.69 and 161,054.48 is: 241,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,950.24 : 601,352.69 = 161,054.48 : x
  2. Step 2: Convert to fraction form
    400,950.24/601,352.69 = 161,054.48/x
  3. Step 3: Cross multiply
    400,950.24x = 601,352.69 × 161,054.48
  4. Step 4: Simplify right side
    400,950.24x = 96,850,540,972.52
  5. Step 5: Solve for x
    x = 96,850,540,972.52/400,950.24
  6. Step 6: Final answer
    x = 241,552.52

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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.