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Finding the Fourth Proportional to 298,114.44, 411,437.66 and 169,099.61

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Solution

The fourth proportional to 298,114.44, 411,437.66 and 169,099.61 is: 233,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,114.44 : 411,437.66 = 169,099.61 : x
  2. Step 2: Convert to fraction form
    298,114.44/411,437.66 = 169,099.61/x
  3. Step 3: Cross multiply
    298,114.44x = 411,437.66 × 169,099.61
  4. Step 4: Simplify right side
    298,114.44x = 69,573,944,942.63
  5. Step 5: Solve for x
    x = 69,573,944,942.63/298,114.44
  6. Step 6: Final answer
    x = 233,379.99

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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.