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Finding the Fourth Proportional to 305,058.57, 420,838.43 and 191,943.69

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Solution

The fourth proportional to 305,058.57, 420,838.43 and 191,943.69 is: 264,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,058.57 : 420,838.43 = 191,943.69 : x
  2. Step 2: Convert to fraction form
    305,058.57/420,838.43 = 191,943.69/x
  3. Step 3: Cross multiply
    305,058.57x = 420,838.43 × 191,943.69
  4. Step 4: Simplify right side
    305,058.57x = 80,777,279,043.81
  5. Step 5: Solve for x
    x = 80,777,279,043.81/305,058.57
  6. Step 6: Final answer
    x = 264,792.69

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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.