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Finding the Fourth Proportional to 524,023.80, 784,869.30 and 454,039.80

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Solution

The fourth proportional to 524,023.80, 784,869.30 and 454,039.80 is: 680,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,023.80 : 784,869.30 = 454,039.80 : x
  2. Step 2: Convert to fraction form
    524,023.80/784,869.30 = 454,039.80/x
  3. Step 3: Cross multiply
    524,023.80x = 784,869.30 × 454,039.80
  4. Step 4: Simplify right side
    524,023.80x = 356,361,899,998.14
  5. Step 5: Solve for x
    x = 356,361,899,998.14/524,023.80
  6. Step 6: Final answer
    x = 680,049.07

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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.