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Finding the Fourth Proportional to 305,830.20, 422,045.67 and 171,694.20

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Solution

The fourth proportional to 305,830.20, 422,045.67 and 171,694.20 is: 236,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.20 : 422,045.67 = 171,694.20 : x
  2. Step 2: Convert to fraction form
    305,830.20/422,045.67 = 171,694.20/x
  3. Step 3: Cross multiply
    305,830.20x = 422,045.67 × 171,694.20
  4. Step 4: Simplify right side
    305,830.20x = 72,462,793,674.11
  5. Step 5: Solve for x
    x = 72,462,793,674.11/305,830.20
  6. Step 6: Final answer
    x = 236,937.99

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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.