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Finding the Fourth Proportional to 396,003.40, 593,486.70 and 159,152.20

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Solution

The fourth proportional to 396,003.40, 593,486.70 and 159,152.20 is: 238,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,003.40 : 593,486.70 = 159,152.20 : x
  2. Step 2: Convert to fraction form
    396,003.40/593,486.70 = 159,152.20/x
  3. Step 3: Cross multiply
    396,003.40x = 593,486.70 × 159,152.20
  4. Step 4: Simplify right side
    396,003.40x = 94,454,713,975.74
  5. Step 5: Solve for x
    x = 94,454,713,975.74/396,003.40
  6. Step 6: Final answer
    x = 238,519.96

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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.