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Finding the Fourth Proportional to 298,552.32, 447,960.32 and 231,665.49

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Solution

The fourth proportional to 298,552.32, 447,960.32 and 231,665.49 is: 347,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,552.32 : 447,960.32 = 231,665.49 : x
  2. Step 2: Convert to fraction form
    298,552.32/447,960.32 = 231,665.49/x
  3. Step 3: Cross multiply
    298,552.32x = 447,960.32 × 231,665.49
  4. Step 4: Simplify right side
    298,552.32x = 103,776,945,875.03
  5. Step 5: Solve for x
    x = 103,776,945,875.03/298,552.32
  6. Step 6: Final answer
    x = 347,600.53

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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.