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Finding the Fourth Proportional to 513,717.12, 770,497.92 and 139,769.28

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Solution

The fourth proportional to 513,717.12, 770,497.92 and 139,769.28 is: 209,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,717.12 : 770,497.92 = 139,769.28 : x
  2. Step 2: Convert to fraction form
    513,717.12/770,497.92 = 139,769.28/x
  3. Step 3: Cross multiply
    513,717.12x = 770,497.92 × 139,769.28
  4. Step 4: Simplify right side
    513,717.12x = 107,691,939,519.90
  5. Step 5: Solve for x
    x = 107,691,939,519.90/513,717.12
  6. Step 6: Final answer
    x = 209,632.76

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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.