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Finding the Fourth Proportional to 395,231.40, 592,847.10 and 158,743.80

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Solution

The fourth proportional to 395,231.40, 592,847.10 and 158,743.80 is: 238,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,231.40 : 592,847.10 = 158,743.80 : x
  2. Step 2: Convert to fraction form
    395,231.40/592,847.10 = 158,743.80/x
  3. Step 3: Cross multiply
    395,231.40x = 592,847.10 × 158,743.80
  4. Step 4: Simplify right side
    395,231.40x = 94,110,801,472.98
  5. Step 5: Solve for x
    x = 94,110,801,472.98/395,231.40
  6. Step 6: Final answer
    x = 238,115.70

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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.