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Finding the Fourth Proportional to 512,909.40, 769,364.10 and 133,829.40

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Solution

The fourth proportional to 512,909.40, 769,364.10 and 133,829.40 is: 200,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,909.40 : 769,364.10 = 133,829.40 : x
  2. Step 2: Convert to fraction form
    512,909.40/769,364.10 = 133,829.40/x
  3. Step 3: Cross multiply
    512,909.40x = 769,364.10 × 133,829.40
  4. Step 4: Simplify right side
    512,909.40x = 102,963,535,884.54
  5. Step 5: Solve for x
    x = 102,963,535,884.54/512,909.40
  6. Step 6: Final answer
    x = 200,744.10

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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.