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Finding the Fourth Proportional to 433,880.37, 649,688.67 and 349,177.86

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Solution

The fourth proportional to 433,880.37, 649,688.67 and 349,177.86 is: 522,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,880.37 : 649,688.67 = 349,177.86 : x
  2. Step 2: Convert to fraction form
    433,880.37/649,688.67 = 349,177.86/x
  3. Step 3: Cross multiply
    433,880.37x = 649,688.67 × 349,177.86
  4. Step 4: Simplify right side
    433,880.37x = 226,856,899,456.85
  5. Step 5: Solve for x
    x = 226,856,899,456.85/433,880.37
  6. Step 6: Final answer
    x = 522,855.87

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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.