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Finding the Fourth Proportional to 522,351.01, 784,252.86 and 269,818.12

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Solution

The fourth proportional to 522,351.01, 784,252.86 and 269,818.12 is: 405,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,351.01 : 784,252.86 = 269,818.12 : x
  2. Step 2: Convert to fraction form
    522,351.01/784,252.86 = 269,818.12/x
  3. Step 3: Cross multiply
    522,351.01x = 784,252.86 × 269,818.12
  4. Step 4: Simplify right side
    522,351.01x = 211,605,632,289.82
  5. Step 5: Solve for x
    x = 211,605,632,289.82/522,351.01
  6. Step 6: Final answer
    x = 405,102.37

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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.