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Finding the Fourth Proportional to 396,740.86, 594,923.68 and 153,695.77

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Solution

The fourth proportional to 396,740.86, 594,923.68 and 153,695.77 is: 230,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,740.86 : 594,923.68 = 153,695.77 : x
  2. Step 2: Convert to fraction form
    396,740.86/594,923.68 = 153,695.77/x
  3. Step 3: Cross multiply
    396,740.86x = 594,923.68 × 153,695.77
  4. Step 4: Simplify right side
    396,740.86x = 91,437,251,793.64
  5. Step 5: Solve for x
    x = 91,437,251,793.64/396,740.86
  6. Step 6: Final answer
    x = 230,470.97

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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.