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Finding the Fourth Proportional to 264,834.20, 397,251.30 and 260,168.60

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Solution

The fourth proportional to 264,834.20, 397,251.30 and 260,168.60 is: 390,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,834.20 : 397,251.30 = 260,168.60 : x
  2. Step 2: Convert to fraction form
    264,834.20/397,251.30 = 260,168.60/x
  3. Step 3: Cross multiply
    264,834.20x = 397,251.30 × 260,168.60
  4. Step 4: Simplify right side
    264,834.20x = 103,352,314,569.18
  5. Step 5: Solve for x
    x = 103,352,314,569.18/264,834.20
  6. Step 6: Final answer
    x = 390,252.90

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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.