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Finding the Fourth Proportional to 522,352.01, 784,254.36 and 269,819.12

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Solution

The fourth proportional to 522,352.01, 784,254.36 and 269,819.12 is: 405,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,352.01 : 784,254.36 = 269,819.12 : x
  2. Step 2: Convert to fraction form
    522,352.01/784,254.36 = 269,819.12/x
  3. Step 3: Cross multiply
    522,352.01x = 784,254.36 × 269,819.12
  4. Step 4: Simplify right side
    522,352.01x = 211,606,821,271.36
  5. Step 5: Solve for x
    x = 211,606,821,271.36/522,352.01
  6. Step 6: Final answer
    x = 405,103.87

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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.