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Finding the Fourth Proportional to 436,511.76, 654,546.16 and 199,651.48

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Solution

The fourth proportional to 436,511.76, 654,546.16 and 199,651.48 is: 299,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,511.76 : 654,546.16 = 199,651.48 : x
  2. Step 2: Convert to fraction form
    436,511.76/654,546.16 = 199,651.48/x
  3. Step 3: Cross multiply
    436,511.76x = 654,546.16 × 199,651.48
  4. Step 4: Simplify right side
    436,511.76x = 130,681,109,572.32
  5. Step 5: Solve for x
    x = 130,681,109,572.32/436,511.76
  6. Step 6: Final answer
    x = 299,375.92

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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.