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Finding the Fourth Proportional to 305,821.68, 422,031 and 171,684.72

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Solution

The fourth proportional to 305,821.68, 422,031 and 171,684.72 is: 236,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,821.68 : 422,031 = 171,684.72 : x
  2. Step 2: Convert to fraction form
    305,821.68/422,031 = 171,684.72/x
  3. Step 3: Cross multiply
    305,821.68x = 422,031 × 171,684.72
  4. Step 4: Simplify right side
    305,821.68x = 72,456,274,066.32
  5. Step 5: Solve for x
    x = 72,456,274,066.32/305,821.68
  6. Step 6: Final answer
    x = 236,923.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.