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Finding the Fourth Proportional to 413,297.97, 619,003.08 and 197,308.63

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Solution

The fourth proportional to 413,297.97, 619,003.08 and 197,308.63 is: 295,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,297.97 : 619,003.08 = 197,308.63 : x
  2. Step 2: Convert to fraction form
    413,297.97/619,003.08 = 197,308.63/x
  3. Step 3: Cross multiply
    413,297.97x = 619,003.08 × 197,308.63
  4. Step 4: Simplify right side
    413,297.97x = 122,134,648,626.34
  5. Step 5: Solve for x
    x = 122,134,648,626.34/413,297.97
  6. Step 6: Final answer
    x = 295,512.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.