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Finding the Fourth Proportional to 305,828.06, 422,042.74 and 171,692.06

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Solution

The fourth proportional to 305,828.06, 422,042.74 and 171,692.06 is: 236,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,828.06 : 422,042.74 = 171,692.06 : x
  2. Step 2: Convert to fraction form
    305,828.06/422,042.74 = 171,692.06/x
  3. Step 3: Cross multiply
    305,828.06x = 422,042.74 × 171,692.06
  4. Step 4: Simplify right side
    305,828.06x = 72,461,388,064.52
  5. Step 5: Solve for x
    x = 72,461,388,064.52/305,828.06
  6. Step 6: Final answer
    x = 236,935.05

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Why These Related Problems?

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