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Finding the Fourth Proportional to 410,118.80, 614,659.80 and 199,302.80

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Solution

The fourth proportional to 410,118.80, 614,659.80 and 199,302.80 is: 298,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,118.80 : 614,659.80 = 199,302.80 : x
  2. Step 2: Convert to fraction form
    410,118.80/614,659.80 = 199,302.80/x
  3. Step 3: Cross multiply
    410,118.80x = 614,659.80 × 199,302.80
  4. Step 4: Simplify right side
    410,118.80x = 122,503,419,187.44
  5. Step 5: Solve for x
    x = 122,503,419,187.44/410,118.80
  6. Step 6: Final answer
    x = 298,702.28

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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.