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Finding the Fourth Proportional to 512,843.95, 769,298.76 and 197,300.86

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Solution

The fourth proportional to 512,843.95, 769,298.76 and 197,300.86 is: 295,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,843.95 : 769,298.76 = 197,300.86 : x
  2. Step 2: Convert to fraction form
    512,843.95/769,298.76 = 197,300.86/x
  3. Step 3: Cross multiply
    512,843.95x = 769,298.76 × 197,300.86
  4. Step 4: Simplify right side
    512,843.95x = 151,783,302,111.94
  5. Step 5: Solve for x
    x = 151,783,302,111.94/512,843.95
  6. Step 6: Final answer
    x = 295,963.91

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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.