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Finding the Fourth Proportional to 454,967.20, 682,013.40 and 353,709.10

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Solution

The fourth proportional to 454,967.20, 682,013.40 and 353,709.10 is: 530,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,967.20 : 682,013.40 = 353,709.10 : x
  2. Step 2: Convert to fraction form
    454,967.20/682,013.40 = 353,709.10/x
  3. Step 3: Cross multiply
    454,967.20x = 682,013.40 × 353,709.10
  4. Step 4: Simplify right side
    454,967.20x = 241,234,345,901.94
  5. Step 5: Solve for x
    x = 241,234,345,901.94/454,967.20
  6. Step 6: Final answer
    x = 530,223.60

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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.