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Finding the Fourth Proportional to 298,066.23, 411,123.20 and 202,406.85

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Solution

The fourth proportional to 298,066.23, 411,123.20 and 202,406.85 is: 279,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,066.23 : 411,123.20 = 202,406.85 : x
  2. Step 2: Convert to fraction form
    298,066.23/411,123.20 = 202,406.85/x
  3. Step 3: Cross multiply
    298,066.23x = 411,123.20 × 202,406.85
  4. Step 4: Simplify right side
    298,066.23x = 83,214,150,861.89
  5. Step 5: Solve for x
    x = 83,214,150,861.89/298,066.23
  6. Step 6: Final answer
    x = 279,180.07

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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.