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Finding the Fourth Proportional to 384,207.30, 576,310.95 and 364,524.30

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Solution

The fourth proportional to 384,207.30, 576,310.95 and 364,524.30 is: 546,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,207.30 : 576,310.95 = 364,524.30 : x
  2. Step 2: Convert to fraction form
    384,207.30/576,310.95 = 364,524.30/x
  3. Step 3: Cross multiply
    384,207.30x = 576,310.95 × 364,524.30
  4. Step 4: Simplify right side
    384,207.30x = 210,079,345,631.09
  5. Step 5: Solve for x
    x = 210,079,345,631.09/384,207.30
  6. Step 6: Final answer
    x = 546,786.45

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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.