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Finding the Fourth Proportional to 617,908.96, 926,879.64 and 197,184.43

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Solution

The fourth proportional to 617,908.96, 926,879.64 and 197,184.43 is: 295,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,908.96 : 926,879.64 = 197,184.43 : x
  2. Step 2: Convert to fraction form
    617,908.96/926,879.64 = 197,184.43/x
  3. Step 3: Cross multiply
    617,908.96x = 926,879.64 × 197,184.43
  4. Step 4: Simplify right side
    617,908.96x = 182,766,233,492.01
  5. Step 5: Solve for x
    x = 182,766,233,492.01/617,908.96
  6. Step 6: Final answer
    x = 295,781.81

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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.