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Finding the Fourth Proportional to 522,732.56, 784,107.44 and 143,650.92

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Solution

The fourth proportional to 522,732.56, 784,107.44 and 143,650.92 is: 215,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,732.56 : 784,107.44 = 143,650.92 : x
  2. Step 2: Convert to fraction form
    522,732.56/784,107.44 = 143,650.92/x
  3. Step 3: Cross multiply
    522,732.56x = 784,107.44 × 143,650.92
  4. Step 4: Simplify right side
    522,732.56x = 112,637,755,134.85
  5. Step 5: Solve for x
    x = 112,637,755,134.85/522,732.56
  6. Step 6: Final answer
    x = 215,478.74

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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.