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Finding the Fourth Proportional to 395,665.02, 593,524.80 and 159,007.86

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Solution

The fourth proportional to 395,665.02, 593,524.80 and 159,007.86 is: 238,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,665.02 : 593,524.80 = 159,007.86 : x
  2. Step 2: Convert to fraction form
    395,665.02/593,524.80 = 159,007.86/x
  3. Step 3: Cross multiply
    395,665.02x = 593,524.80 × 159,007.86
  4. Step 4: Simplify right side
    395,665.02x = 94,375,108,304.93
  5. Step 5: Solve for x
    x = 94,375,108,304.93/395,665.02
  6. Step 6: Final answer
    x = 238,522.75

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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.