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Finding the Fourth Proportional to 264,790.26, 397,578.51 and 260,066.34

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Solution

The fourth proportional to 264,790.26, 397,578.51 and 260,066.34 is: 390,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,790.26 : 397,578.51 = 260,066.34 : x
  2. Step 2: Convert to fraction form
    264,790.26/397,578.51 = 260,066.34/x
  3. Step 3: Cross multiply
    264,790.26x = 397,578.51 × 260,066.34
  4. Step 4: Simplify right side
    264,790.26x = 103,396,787,958.35
  5. Step 5: Solve for x
    x = 103,396,787,958.35/264,790.26
  6. Step 6: Final answer
    x = 390,485.62

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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.