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Finding the Fourth Proportional to 409,714.56, 614,591.28 and 199,101.60

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Solution

The fourth proportional to 409,714.56, 614,591.28 and 199,101.60 is: 298,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,714.56 : 614,591.28 = 199,101.60 : x
  2. Step 2: Convert to fraction form
    409,714.56/614,591.28 = 199,101.60/x
  3. Step 3: Cross multiply
    409,714.56x = 614,591.28 × 199,101.60
  4. Step 4: Simplify right side
    409,714.56x = 122,366,107,194.05
  5. Step 5: Solve for x
    x = 122,366,107,194.05/409,714.56
  6. Step 6: Final answer
    x = 298,661.85

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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.