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Finding the Fourth Proportional to 462,191.09, 692,843.74 and 195,584.85

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Solution

The fourth proportional to 462,191.09, 692,843.74 and 195,584.85 is: 293,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,191.09 : 692,843.74 = 195,584.85 : x
  2. Step 2: Convert to fraction form
    462,191.09/692,843.74 = 195,584.85/x
  3. Step 3: Cross multiply
    462,191.09x = 692,843.74 × 195,584.85
  4. Step 4: Simplify right side
    462,191.09x = 135,509,738,472.38
  5. Step 5: Solve for x
    x = 135,509,738,472.38/462,191.09
  6. Step 6: Final answer
    x = 293,189.86

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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.