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Finding the Fourth Proportional to 299,563.53, 413,298.09 and 197,639.61

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Solution

The fourth proportional to 299,563.53, 413,298.09 and 197,639.61 is: 272,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563.53 : 413,298.09 = 197,639.61 : x
  2. Step 2: Convert to fraction form
    299,563.53/413,298.09 = 197,639.61/x
  3. Step 3: Cross multiply
    299,563.53x = 413,298.09 × 197,639.61
  4. Step 4: Simplify right side
    299,563.53x = 81,684,073,321.34
  5. Step 5: Solve for x
    x = 81,684,073,321.34/299,563.53
  6. Step 6: Final answer
    x = 272,676.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.