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Finding the Fourth Proportional to 384,331.68, 576,497.52 and 197,223.84

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Solution

The fourth proportional to 384,331.68, 576,497.52 and 197,223.84 is: 295,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,331.68 : 576,497.52 = 197,223.84 : x
  2. Step 2: Convert to fraction form
    384,331.68/576,497.52 = 197,223.84/x
  3. Step 3: Cross multiply
    384,331.68x = 576,497.52 × 197,223.84
  4. Step 4: Simplify right side
    384,331.68x = 113,699,054,644.88
  5. Step 5: Solve for x
    x = 113,699,054,644.88/384,331.68
  6. Step 6: Final answer
    x = 295,835.76

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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.