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Finding the Fourth Proportional to 512,843.45, 769,298.01 and 197,300.36

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Solution

The fourth proportional to 512,843.45, 769,298.01 and 197,300.36 is: 295,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,843.45 : 769,298.01 = 197,300.36 : x
  2. Step 2: Convert to fraction form
    512,843.45/769,298.01 = 197,300.36/x
  3. Step 3: Cross multiply
    512,843.45x = 769,298.01 × 197,300.36
  4. Step 4: Simplify right side
    512,843.45x = 151,782,771,176.35
  5. Step 5: Solve for x
    x = 151,782,771,176.35/512,843.45
  6. Step 6: Final answer
    x = 295,963.17

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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.