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Finding the Fourth Proportional to 298,799.91, 412,343.96 and 162,833.89

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Solution

The fourth proportional to 298,799.91, 412,343.96 and 162,833.89 is: 224,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,799.91 : 412,343.96 = 162,833.89 : x
  2. Step 2: Convert to fraction form
    298,799.91/412,343.96 = 162,833.89/x
  3. Step 3: Cross multiply
    298,799.91x = 412,343.96 × 162,833.89
  4. Step 4: Simplify right side
    298,799.91x = 67,143,571,024.80
  5. Step 5: Solve for x
    x = 67,143,571,024.80/298,799.91
  6. Step 6: Final answer
    x = 224,710.81

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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.