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Finding the Fourth Proportional to 395,442.71, 593,163.91 and 158,785.31

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Solution

The fourth proportional to 395,442.71, 593,163.91 and 158,785.31 is: 238,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,442.71 : 593,163.91 = 158,785.31 : x
  2. Step 2: Convert to fraction form
    395,442.71/593,163.91 = 158,785.31/x
  3. Step 3: Cross multiply
    395,442.71x = 593,163.91 × 158,785.31
  4. Step 4: Simplify right side
    395,442.71x = 94,185,717,011.55
  5. Step 5: Solve for x
    x = 94,185,717,011.55/395,442.71
  6. Step 6: Final answer
    x = 238,177.91

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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.