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Finding the Fourth Proportional to 395,515.28, 593,272.56 and 158,858

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Solution

The fourth proportional to 395,515.28, 593,272.56 and 158,858 is: 238,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,515.28 : 593,272.56 = 158,858 : x
  2. Step 2: Convert to fraction form
    395,515.28/593,272.56 = 158,858/x
  3. Step 3: Cross multiply
    395,515.28x = 593,272.56 × 158,858
  4. Step 4: Simplify right side
    395,515.28x = 94,246,092,336.48
  5. Step 5: Solve for x
    x = 94,246,092,336.48/395,515.28
  6. Step 6: Final answer
    x = 238,286.86

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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.