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Finding the Fourth Proportional to 361,995.30, 542,458.35 and 262,365.30

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Solution

The fourth proportional to 361,995.30, 542,458.35 and 262,365.30 is: 393,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,995.30 : 542,458.35 = 262,365.30 : x
  2. Step 2: Convert to fraction form
    361,995.30/542,458.35 = 262,365.30/x
  3. Step 3: Cross multiply
    361,995.30x = 542,458.35 × 262,365.30
  4. Step 4: Simplify right side
    361,995.30x = 142,322,247,735.26
  5. Step 5: Solve for x
    x = 142,322,247,735.26/361,995.30
  6. Step 6: Final answer
    x = 393,160.49

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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.