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Finding the Fourth Proportional to 298,834.68, 412,379.84 and 162,865.72

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Solution

The fourth proportional to 298,834.68, 412,379.84 and 162,865.72 is: 224,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,834.68 : 412,379.84 = 162,865.72 : x
  2. Step 2: Convert to fraction form
    298,834.68/412,379.84 = 162,865.72/x
  3. Step 3: Cross multiply
    298,834.68x = 412,379.84 × 162,865.72
  4. Step 4: Simplify right side
    298,834.68x = 67,162,540,477.72
  5. Step 5: Solve for x
    x = 67,162,540,477.72/298,834.68
  6. Step 6: Final answer
    x = 224,748.14

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