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Finding the Fourth Proportional to 298,469.97, 411,886.08 and 162,503.66

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Solution

The fourth proportional to 298,469.97, 411,886.08 and 162,503.66 is: 224,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,469.97 : 411,886.08 = 162,503.66 : x
  2. Step 2: Convert to fraction form
    298,469.97/411,886.08 = 162,503.66/x
  3. Step 3: Cross multiply
    298,469.97x = 411,886.08 × 162,503.66
  4. Step 4: Simplify right side
    298,469.97x = 66,932,993,443.62
  5. Step 5: Solve for x
    x = 66,932,993,443.62/298,469.97
  6. Step 6: Final answer
    x = 224,253.69

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1.5x scale

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.