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Finding the Fourth Proportional to 299,560.71, 413,844.72 and 196,440.24

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Solution

The fourth proportional to 299,560.71, 413,844.72 and 196,440.24 is: 271,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560.71 : 413,844.72 = 196,440.24 : x
  2. Step 2: Convert to fraction form
    299,560.71/413,844.72 = 196,440.24/x
  3. Step 3: Cross multiply
    299,560.71x = 413,844.72 × 196,440.24
  4. Step 4: Simplify right side
    299,560.71x = 81,295,755,159.41
  5. Step 5: Solve for x
    x = 81,295,755,159.41/299,560.71
  6. Step 6: Final answer
    x = 271,383.24

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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.