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Finding the Fourth Proportional to 298,352.94, 411,720.57 and 162,383.49

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Solution

The fourth proportional to 298,352.94, 411,720.57 and 162,383.49 is: 224,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,352.94 : 411,720.57 = 162,383.49 : x
  2. Step 2: Convert to fraction form
    298,352.94/411,720.57 = 162,383.49/x
  3. Step 3: Cross multiply
    298,352.94x = 411,720.57 × 162,383.49
  4. Step 4: Simplify right side
    298,352.94x = 66,856,623,061.39
  5. Step 5: Solve for x
    x = 66,856,623,061.39/298,352.94
  6. Step 6: Final answer
    x = 224,085.69

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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.