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Finding the Fourth Proportional to 298,234.94, 447,296.84 and 95,834.56

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Solution

The fourth proportional to 298,234.94, 447,296.84 and 95,834.56 is: 143,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,234.94 : 447,296.84 = 95,834.56 : x
  2. Step 2: Convert to fraction form
    298,234.94/447,296.84 = 95,834.56/x
  3. Step 3: Cross multiply
    298,234.94x = 447,296.84 × 95,834.56
  4. Step 4: Simplify right side
    298,234.94x = 42,866,495,850.79
  5. Step 5: Solve for x
    x = 42,866,495,850.79/298,234.94
  6. Step 6: Final answer
    x = 143,733.98

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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.