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Finding the Fourth Proportional to 524,007.30, 784,844.55 and 454,023.30

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Solution

The fourth proportional to 524,007.30, 784,844.55 and 454,023.30 is: 680,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,007.30 : 784,844.55 = 454,023.30 : x
  2. Step 2: Convert to fraction form
    524,007.30/784,844.55 = 454,023.30/x
  3. Step 3: Cross multiply
    524,007.30x = 784,844.55 × 454,023.30
  4. Step 4: Simplify right side
    524,007.30x = 356,337,712,578.02
  5. Step 5: Solve for x
    x = 356,337,712,578.02/524,007.30
  6. Step 6: Final answer
    x = 680,024.33

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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.