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Finding the Fourth Proportional to 524,008.30, 784,846.05 and 454,024.30

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Solution

The fourth proportional to 524,008.30, 784,846.05 and 454,024.30 is: 680,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,008.30 : 784,846.05 = 454,024.30 : x
  2. Step 2: Convert to fraction form
    524,008.30/784,846.05 = 454,024.30/x
  3. Step 3: Cross multiply
    524,008.30x = 784,846.05 × 454,024.30
  4. Step 4: Simplify right side
    524,008.30x = 356,339,178,459.02
  5. Step 5: Solve for x
    x = 356,339,178,459.02/524,008.30
  6. Step 6: Final answer
    x = 680,025.83

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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.