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Finding the Fourth Proportional to 395,464.33, 593,224.16 and 158,807

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Solution

The fourth proportional to 395,464.33, 593,224.16 and 158,807 is: 238,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,464.33 : 593,224.16 = 158,807 : x
  2. Step 2: Convert to fraction form
    395,464.33/593,224.16 = 158,807/x
  3. Step 3: Cross multiply
    395,464.33x = 593,224.16 × 158,807
  4. Step 4: Simplify right side
    395,464.33x = 94,208,149,177.12
  5. Step 5: Solve for x
    x = 94,208,149,177.12/395,464.33
  6. Step 6: Final answer
    x = 238,221.61

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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.