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Finding the Fourth Proportional to 299,387.28, 413,144.10 and 178,466.25

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Solution

The fourth proportional to 299,387.28, 413,144.10 and 178,466.25 is: 246,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,387.28 : 413,144.10 = 178,466.25 : x
  2. Step 2: Convert to fraction form
    299,387.28/413,144.10 = 178,466.25/x
  3. Step 3: Cross multiply
    299,387.28x = 413,144.10 × 178,466.25
  4. Step 4: Simplify right side
    299,387.28x = 73,732,278,236.63
  5. Step 5: Solve for x
    x = 73,732,278,236.63/299,387.28
  6. Step 6: Final answer
    x = 246,277.26

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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.