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Finding the Fourth Proportional to 434,081.60, 650,344.80 and 267,675.20

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Solution

The fourth proportional to 434,081.60, 650,344.80 and 267,675.20 is: 401,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,081.60 : 650,344.80 = 267,675.20 : x
  2. Step 2: Convert to fraction form
    434,081.60/650,344.80 = 267,675.20/x
  3. Step 3: Cross multiply
    434,081.60x = 650,344.80 × 267,675.20
  4. Step 4: Simplify right side
    434,081.60x = 174,081,174,408.96
  5. Step 5: Solve for x
    x = 174,081,174,408.96/434,081.60
  6. Step 6: Final answer
    x = 401,033.30

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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.