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Finding the Fourth Proportional to 519,103.57, 778,650.49 and 164,117.63

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Solution

The fourth proportional to 519,103.57, 778,650.49 and 164,117.63 is: 246,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,103.57 : 778,650.49 = 164,117.63 : x
  2. Step 2: Convert to fraction form
    519,103.57/778,650.49 = 164,117.63/x
  3. Step 3: Cross multiply
    519,103.57x = 778,650.49 × 164,117.63
  4. Step 4: Simplify right side
    519,103.57x = 127,790,269,865.84
  5. Step 5: Solve for x
    x = 127,790,269,865.84/519,103.57
  6. Step 6: Final answer
    x = 246,174.90

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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.