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Finding the Fourth Proportional to 281,967.67, 422,203.26 and 220,566.03

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Solution

The fourth proportional to 281,967.67, 422,203.26 and 220,566.03 is: 330,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,967.67 : 422,203.26 = 220,566.03 : x
  2. Step 2: Convert to fraction form
    281,967.67/422,203.26 = 220,566.03/x
  3. Step 3: Cross multiply
    281,967.67x = 422,203.26 × 220,566.03
  4. Step 4: Simplify right side
    281,967.67x = 93,123,696,911.26
  5. Step 5: Solve for x
    x = 93,123,696,911.26/281,967.67
  6. Step 6: Final answer
    x = 330,263.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.