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Finding the Fourth Proportional to 305,839.50, 422,058.52 and 171,703.50

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Solution

The fourth proportional to 305,839.50, 422,058.52 and 171,703.50 is: 236,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,839.50 : 422,058.52 = 171,703.50 : x
  2. Step 2: Convert to fraction form
    305,839.50/422,058.52 = 171,703.50/x
  3. Step 3: Cross multiply
    305,839.50x = 422,058.52 × 171,703.50
  4. Step 4: Simplify right side
    305,839.50x = 72,468,925,088.82
  5. Step 5: Solve for x
    x = 72,468,925,088.82/305,839.50
  6. Step 6: Final answer
    x = 236,950.84

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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.