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Finding the Fourth Proportional to 395,902.70, 593,999.85 and 159,415.10

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Solution

The fourth proportional to 395,902.70, 593,999.85 and 159,415.10 is: 239,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,902.70 : 593,999.85 = 159,415.10 : x
  2. Step 2: Convert to fraction form
    395,902.70/593,999.85 = 159,415.10/x
  3. Step 3: Cross multiply
    395,902.70x = 593,999.85 × 159,415.10
  4. Step 4: Simplify right side
    395,902.70x = 94,692,545,487.74
  5. Step 5: Solve for x
    x = 94,692,545,487.74/395,902.70
  6. Step 6: Final answer
    x = 239,181.36

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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.