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Finding the Fourth Proportional to 298,082.84, 411,350.30 and 162,113.86

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Solution

The fourth proportional to 298,082.84, 411,350.30 and 162,113.86 is: 223,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082.84 : 411,350.30 = 162,113.86 : x
  2. Step 2: Convert to fraction form
    298,082.84/411,350.30 = 162,113.86/x
  3. Step 3: Cross multiply
    298,082.84x = 411,350.30 × 162,113.86
  4. Step 4: Simplify right side
    298,082.84x = 66,685,582,942.86
  5. Step 5: Solve for x
    x = 66,685,582,942.86/298,082.84
  6. Step 6: Final answer
    x = 223,714.94

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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.