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Finding the Fourth Proportional to 262,058.46, 392,880.33 and 261,735.90

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Solution

The fourth proportional to 262,058.46, 392,880.33 and 261,735.90 is: 392,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,058.46 : 392,880.33 = 261,735.90 : x
  2. Step 2: Convert to fraction form
    262,058.46/392,880.33 = 261,735.90/x
  3. Step 3: Cross multiply
    262,058.46x = 392,880.33 × 261,735.90
  4. Step 4: Simplify right side
    262,058.46x = 102,830,886,764.85
  5. Step 5: Solve for x
    x = 102,830,886,764.85/262,058.46
  6. Step 6: Final answer
    x = 392,396.75

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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.