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Finding the Fourth Proportional to 384,139.20, 576,208.80 and 244,516.80

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Solution

The fourth proportional to 384,139.20, 576,208.80 and 244,516.80 is: 366,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,139.20 : 576,208.80 = 244,516.80 : x
  2. Step 2: Convert to fraction form
    384,139.20/576,208.80 = 244,516.80/x
  3. Step 3: Cross multiply
    384,139.20x = 576,208.80 × 244,516.80
  4. Step 4: Simplify right side
    384,139.20x = 140,892,731,907.84
  5. Step 5: Solve for x
    x = 140,892,731,907.84/384,139.20
  6. Step 6: Final answer
    x = 366,775.20

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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.