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Finding the Fourth Proportional to 384,213.80, 576,320.70 and 364,530.80

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Solution

The fourth proportional to 384,213.80, 576,320.70 and 364,530.80 is: 546,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,213.80 : 576,320.70 = 364,530.80 : x
  2. Step 2: Convert to fraction form
    384,213.80/576,320.70 = 364,530.80/x
  3. Step 3: Cross multiply
    384,213.80x = 576,320.70 × 364,530.80
  4. Step 4: Simplify right side
    384,213.80x = 210,086,645,827.56
  5. Step 5: Solve for x
    x = 210,086,645,827.56/384,213.80
  6. Step 6: Final answer
    x = 546,796.20

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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.