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Finding the Fourth Proportional to 784,768.50, 1,177,163.82 and 223,803

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Solution

The fourth proportional to 784,768.50, 1,177,163.82 and 223,803 is: 335,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,768.50 : 1,177,163.82 = 223,803 : x
  2. Step 2: Convert to fraction form
    784,768.50/1,177,163.82 = 223,803/x
  3. Step 3: Cross multiply
    784,768.50x = 1,177,163.82 × 223,803
  4. Step 4: Simplify right side
    784,768.50x = 263,452,794,407.46
  5. Step 5: Solve for x
    x = 263,452,794,407.46/784,768.50
  6. Step 6: Final answer
    x = 335,707.66

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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.