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Finding the Fourth Proportional to 298,193.64, 411,496.68 and 162,223.80

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Solution

The fourth proportional to 298,193.64, 411,496.68 and 162,223.80 is: 223,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,193.64 : 411,496.68 = 162,223.80 : x
  2. Step 2: Convert to fraction form
    298,193.64/411,496.68 = 162,223.80/x
  3. Step 3: Cross multiply
    298,193.64x = 411,496.68 × 162,223.80
  4. Step 4: Simplify right side
    298,193.64x = 66,754,555,116.98
  5. Step 5: Solve for x
    x = 66,754,555,116.98/298,193.64
  6. Step 6: Final answer
    x = 223,863.11

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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.