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Finding the Fourth Proportional to 619,645.68, 929,274.12 and 198,828

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Solution

The fourth proportional to 619,645.68, 929,274.12 and 198,828 is: 298,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,645.68 : 929,274.12 = 198,828 : x
  2. Step 2: Convert to fraction form
    619,645.68/929,274.12 = 198,828/x
  3. Step 3: Cross multiply
    619,645.68x = 929,274.12 × 198,828
  4. Step 4: Simplify right side
    619,645.68x = 184,765,714,731.36
  5. Step 5: Solve for x
    x = 184,765,714,731.36/619,645.68
  6. Step 6: Final answer
    x = 298,179.62

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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.