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Finding the Fourth Proportional to 384,048.10, 576,072.15 and 243,907.30

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Solution

The fourth proportional to 384,048.10, 576,072.15 and 243,907.30 is: 365,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,048.10 : 576,072.15 = 243,907.30 : x
  2. Step 2: Convert to fraction form
    384,048.10/576,072.15 = 243,907.30/x
  3. Step 3: Cross multiply
    384,048.10x = 576,072.15 × 243,907.30
  4. Step 4: Simplify right side
    384,048.10x = 140,508,202,711.70
  5. Step 5: Solve for x
    x = 140,508,202,711.70/384,048.10
  6. Step 6: Final answer
    x = 365,860.95

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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.