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Finding the Fourth Proportional to 298,191.81, 411,495.32 and 162,222.27

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Solution

The fourth proportional to 298,191.81, 411,495.32 and 162,222.27 is: 223,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191.81 : 411,495.32 = 162,222.27 : x
  2. Step 2: Convert to fraction form
    298,191.81/411,495.32 = 162,222.27/x
  3. Step 3: Cross multiply
    298,191.81x = 411,495.32 × 162,222.27
  4. Step 4: Simplify right side
    298,191.81x = 66,753,704,093.67
  5. Step 5: Solve for x
    x = 66,753,704,093.67/298,191.81
  6. Step 6: Final answer
    x = 223,861.63

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1.5x scale

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.