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Finding the Fourth Proportional to 298,814.04, 412,351.34 and 162,845.06

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Solution

The fourth proportional to 298,814.04, 412,351.34 and 162,845.06 is: 224,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.04 : 412,351.34 = 162,845.06 : x
  2. Step 2: Convert to fraction form
    298,814.04/412,351.34 = 162,845.06/x
  3. Step 3: Cross multiply
    298,814.04x = 412,351.34 × 162,845.06
  4. Step 4: Simplify right side
    298,814.04x = 67,149,375,827.40
  5. Step 5: Solve for x
    x = 67,149,375,827.40/298,814.04
  6. Step 6: Final answer
    x = 224,719.61

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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.