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Finding the Fourth Proportional to 384,200.55, 576,300.83 and 364,517.55

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Solution

The fourth proportional to 384,200.55, 576,300.83 and 364,517.55 is: 546,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.55 : 576,300.83 = 364,517.55 : x
  2. Step 2: Convert to fraction form
    384,200.55/576,300.83 = 364,517.55/x
  3. Step 3: Cross multiply
    384,200.55x = 576,300.83 × 364,517.55
  4. Step 4: Simplify right side
    384,200.55x = 210,071,764,791.98
  5. Step 5: Solve for x
    x = 210,071,764,791.98/384,200.55
  6. Step 6: Final answer
    x = 546,776.33

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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.