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Finding the Fourth Proportional to 523,468.37, 722,202.38 and 342,286.35

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Solution

The fourth proportional to 523,468.37, 722,202.38 and 342,286.35 is: 472,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,468.37 : 722,202.38 = 342,286.35 : x
  2. Step 2: Convert to fraction form
    523,468.37/722,202.38 = 342,286.35/x
  3. Step 3: Cross multiply
    523,468.37x = 722,202.38 × 342,286.35
  4. Step 4: Simplify right side
    523,468.37x = 247,200,014,900.08
  5. Step 5: Solve for x
    x = 247,200,014,900.08/523,468.37
  6. Step 6: Final answer
    x = 472,234.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.