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Finding the Fourth Proportional to 432,846.10, 649,269.15 and 401,353.30

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Solution

The fourth proportional to 432,846.10, 649,269.15 and 401,353.30 is: 602,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,846.10 : 649,269.15 = 401,353.30 : x
  2. Step 2: Convert to fraction form
    432,846.10/649,269.15 = 401,353.30/x
  3. Step 3: Cross multiply
    432,846.10x = 649,269.15 × 401,353.30
  4. Step 4: Simplify right side
    432,846.10x = 260,586,315,940.70
  5. Step 5: Solve for x
    x = 260,586,315,940.70/432,846.10
  6. Step 6: Final answer
    x = 602,029.95

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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.