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Finding the Fourth Proportional to 299,404.12, 413,167.26 and 178,483

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Solution

The fourth proportional to 299,404.12, 413,167.26 and 178,483 is: 246,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,404.12 : 413,167.26 = 178,483 : x
  2. Step 2: Convert to fraction form
    299,404.12/413,167.26 = 178,483/x
  3. Step 3: Cross multiply
    299,404.12x = 413,167.26 × 178,483
  4. Step 4: Simplify right side
    299,404.12x = 73,743,332,066.58
  5. Step 5: Solve for x
    x = 73,743,332,066.58/299,404.12
  6. Step 6: Final answer
    x = 246,300.33

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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.