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Finding the Fourth Proportional to 436,563.78, 654,845.86 and 196,397.16

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Solution

The fourth proportional to 436,563.78, 654,845.86 and 196,397.16 is: 294,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,563.78 : 654,845.86 = 196,397.16 : x
  2. Step 2: Convert to fraction form
    436,563.78/654,845.86 = 196,397.16/x
  3. Step 3: Cross multiply
    436,563.78x = 654,845.86 × 196,397.16
  4. Step 4: Simplify right side
    436,563.78x = 128,609,867,141.76
  5. Step 5: Solve for x
    x = 128,609,867,141.76/436,563.78
  6. Step 6: Final answer
    x = 294,595.83

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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.