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Finding the Fourth Proportional to 299,361.97, 413,123.42 and 176,858.38

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Solution

The fourth proportional to 299,361.97, 413,123.42 and 176,858.38 is: 244,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,361.97 : 413,123.42 = 176,858.38 : x
  2. Step 2: Convert to fraction form
    299,361.97/413,123.42 = 176,858.38/x
  3. Step 3: Cross multiply
    299,361.97x = 413,123.42 × 176,858.38
  4. Step 4: Simplify right side
    299,361.97x = 73,064,335,851.35
  5. Step 5: Solve for x
    x = 73,064,335,851.35/299,361.97
  6. Step 6: Final answer
    x = 244,066.86

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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.