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Finding the Fourth Proportional to 395,704.32, 593,630.72 and 159,064.96

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Solution

The fourth proportional to 395,704.32, 593,630.72 and 159,064.96 is: 238,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,704.32 : 593,630.72 = 159,064.96 : x
  2. Step 2: Convert to fraction form
    395,704.32/593,630.72 = 159,064.96/x
  3. Step 3: Cross multiply
    395,704.32x = 593,630.72 × 159,064.96
  4. Step 4: Simplify right side
    395,704.32x = 94,425,846,731.57
  5. Step 5: Solve for x
    x = 94,425,846,731.57/395,704.32
  6. Step 6: Final answer
    x = 238,627.28

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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.