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Finding the Fourth Proportional to 519,203.76, 778,849.38 and 164,209.92

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Solution

The fourth proportional to 519,203.76, 778,849.38 and 164,209.92 is: 246,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,203.76 : 778,849.38 = 164,209.92 : x
  2. Step 2: Convert to fraction form
    519,203.76/778,849.38 = 164,209.92/x
  3. Step 3: Cross multiply
    519,203.76x = 778,849.38 × 164,209.92
  4. Step 4: Simplify right side
    519,203.76x = 127,894,794,381.85
  5. Step 5: Solve for x
    x = 127,894,794,381.85/519,203.76
  6. Step 6: Final answer
    x = 246,328.71

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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.