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Finding the Fourth Proportional to 446,969.18, 616,839.63 and 277,257.98

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Solution

The fourth proportional to 446,969.18, 616,839.63 and 277,257.98 is: 382,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,969.18 : 616,839.63 = 277,257.98 : x
  2. Step 2: Convert to fraction form
    446,969.18/616,839.63 = 277,257.98/x
  3. Step 3: Cross multiply
    446,969.18x = 616,839.63 × 277,257.98
  4. Step 4: Simplify right side
    446,969.18x = 171,023,709,797.75
  5. Step 5: Solve for x
    x = 171,023,709,797.75/446,969.18
  6. Step 6: Final answer
    x = 382,629.76

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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.