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Finding the Fourth Proportional to 299,661.44, 413,433.60 and 197,737.52

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Solution

The fourth proportional to 299,661.44, 413,433.60 and 197,737.52 is: 272,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,661.44 : 413,433.60 = 197,737.52 : x
  2. Step 2: Convert to fraction form
    299,661.44/413,433.60 = 197,737.52/x
  3. Step 3: Cross multiply
    299,661.44x = 413,433.60 × 197,737.52
  4. Step 4: Simplify right side
    299,661.44x = 81,751,334,748.67
  5. Step 5: Solve for x
    x = 81,751,334,748.67/299,661.44
  6. Step 6: Final answer
    x = 272,812.33

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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.