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Finding the Fourth Proportional to 467,738.10, 701,813.70 and 227,718.90

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Solution

The fourth proportional to 467,738.10, 701,813.70 and 227,718.90 is: 341,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,738.10 : 701,813.70 = 227,718.90 : x
  2. Step 2: Convert to fraction form
    467,738.10/701,813.70 = 227,718.90/x
  3. Step 3: Cross multiply
    467,738.10x = 701,813.70 × 227,718.90
  4. Step 4: Simplify right side
    467,738.10x = 159,816,243,768.93
  5. Step 5: Solve for x
    x = 159,816,243,768.93/467,738.10
  6. Step 6: Final answer
    x = 341,678.91

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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.