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Finding the Fourth Proportional to 522,833.51, 783,906.10 and 344,797.67

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Solution

The fourth proportional to 522,833.51, 783,906.10 and 344,797.67 is: 516,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,833.51 : 783,906.10 = 344,797.67 : x
  2. Step 2: Convert to fraction form
    522,833.51/783,906.10 = 344,797.67/x
  3. Step 3: Cross multiply
    522,833.51x = 783,906.10 × 344,797.67
  4. Step 4: Simplify right side
    522,833.51x = 270,288,996,778.79
  5. Step 5: Solve for x
    x = 270,288,996,778.79/522,833.51
  6. Step 6: Final answer
    x = 516,969.54

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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.