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Finding the Fourth Proportional to 298,687.88, 412,184.46 and 162,723.45

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Solution

The fourth proportional to 298,687.88, 412,184.46 and 162,723.45 is: 224,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,687.88 : 412,184.46 = 162,723.45 : x
  2. Step 2: Convert to fraction form
    298,687.88/412,184.46 = 162,723.45/x
  3. Step 3: Cross multiply
    298,687.88x = 412,184.46 × 162,723.45
  4. Step 4: Simplify right side
    298,687.88x = 67,072,079,523.49
  5. Step 5: Solve for x
    x = 67,072,079,523.49/298,687.88
  6. Step 6: Final answer
    x = 224,555.74

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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.