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Finding the Fourth Proportional to 512,906.40, 769,359.60 and 138,929.40

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Solution

The fourth proportional to 512,906.40, 769,359.60 and 138,929.40 is: 208,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,906.40 : 769,359.60 = 138,929.40 : x
  2. Step 2: Convert to fraction form
    512,906.40/769,359.60 = 138,929.40/x
  3. Step 3: Cross multiply
    512,906.40x = 769,359.60 × 138,929.40
  4. Step 4: Simplify right side
    512,906.40x = 106,886,667,612.24
  5. Step 5: Solve for x
    x = 106,886,667,612.24/512,906.40
  6. Step 6: Final answer
    x = 208,394.10

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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.