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Finding the Fourth Proportional to 298,440.34, 411,834.24 and 162,470.84

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Solution

The fourth proportional to 298,440.34, 411,834.24 and 162,470.84 is: 224,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,440.34 : 411,834.24 = 162,470.84 : x
  2. Step 2: Convert to fraction form
    298,440.34/411,834.24 = 162,470.84/x
  3. Step 3: Cross multiply
    298,440.34x = 411,834.24 × 162,470.84
  4. Step 4: Simplify right side
    298,440.34x = 66,911,052,854.39
  5. Step 5: Solve for x
    x = 66,911,052,854.39/298,440.34
  6. Step 6: Final answer
    x = 224,202.44

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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.