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Finding the Fourth Proportional to 409,683.85, 614,525.79 and 129,222.97

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Solution

The fourth proportional to 409,683.85, 614,525.79 and 129,222.97 is: 193,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,683.85 : 614,525.79 = 129,222.97 : x
  2. Step 2: Convert to fraction form
    409,683.85/614,525.79 = 129,222.97/x
  3. Step 3: Cross multiply
    409,683.85x = 614,525.79 × 129,222.97
  4. Step 4: Simplify right side
    409,683.85x = 79,410,847,725.40
  5. Step 5: Solve for x
    x = 79,410,847,725.40/409,683.85
  6. Step 6: Final answer
    x = 193,834.46

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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.