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Finding the Fourth Proportional to 396,774.40, 594,643.20 and 159,923.20

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Solution

The fourth proportional to 396,774.40, 594,643.20 and 159,923.20 is: 239,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,774.40 : 594,643.20 = 159,923.20 : x
  2. Step 2: Convert to fraction form
    396,774.40/594,643.20 = 159,923.20/x
  3. Step 3: Cross multiply
    396,774.40x = 594,643.20 × 159,923.20
  4. Step 4: Simplify right side
    396,774.40x = 95,097,243,402.24
  5. Step 5: Solve for x
    x = 95,097,243,402.24/396,774.40
  6. Step 6: Final answer
    x = 239,675.85

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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.