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Finding the Fourth Proportional to 397,562, 596,292.44 and 131,257.04

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Solution

The fourth proportional to 397,562, 596,292.44 and 131,257.04 is: 196,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,562 : 596,292.44 = 131,257.04 : x
  2. Step 2: Convert to fraction form
    397,562/596,292.44 = 131,257.04/x
  3. Step 3: Cross multiply
    397,562x = 596,292.44 × 131,257.04
  4. Step 4: Simplify right side
    397,562x = 78,267,580,648.78
  5. Step 5: Solve for x
    x = 78,267,580,648.78/397,562
  6. Step 6: Final answer
    x = 196,868.87

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1.5x scale

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.