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Finding the Fourth Proportional to 467,058.75, 643,183.50 and 405,776.58

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Solution

The fourth proportional to 467,058.75, 643,183.50 and 405,776.58 is: 558,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,058.75 : 643,183.50 = 405,776.58 : x
  2. Step 2: Convert to fraction form
    467,058.75/643,183.50 = 405,776.58/x
  3. Step 3: Cross multiply
    467,058.75x = 643,183.50 × 405,776.58
  4. Step 4: Simplify right side
    467,058.75x = 260,988,800,942.43
  5. Step 5: Solve for x
    x = 260,988,800,942.43/467,058.75
  6. Step 6: Final answer
    x = 558,792.23

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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.