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Finding the Fourth Proportional to 384,310.20, 576,465.30 and 365,939.40

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Solution

The fourth proportional to 384,310.20, 576,465.30 and 365,939.40 is: 548,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,310.20 : 576,465.30 = 365,939.40 : x
  2. Step 2: Convert to fraction form
    384,310.20/576,465.30 = 365,939.40/x
  3. Step 3: Cross multiply
    384,310.20x = 576,465.30 × 365,939.40
  4. Step 4: Simplify right side
    384,310.20x = 210,951,366,002.82
  5. Step 5: Solve for x
    x = 210,951,366,002.82/384,310.20
  6. Step 6: Final answer
    x = 548,909.10

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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.