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Finding the Fourth Proportional to 298,709.86, 448,576.17 and 199,507.54

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Solution

The fourth proportional to 298,709.86, 448,576.17 and 199,507.54 is: 299,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709.86 : 448,576.17 = 199,507.54 : x
  2. Step 2: Convert to fraction form
    298,709.86/448,576.17 = 199,507.54/x
  3. Step 3: Cross multiply
    298,709.86x = 448,576.17 × 199,507.54
  4. Step 4: Simplify right side
    298,709.86x = 89,494,328,179.32
  5. Step 5: Solve for x
    x = 89,494,328,179.32/298,709.86
  6. Step 6: Final answer
    x = 299,602.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.