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Finding the Fourth Proportional to 446,561.60, 616,261.97 and 242,616.56

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Solution

The fourth proportional to 446,561.60, 616,261.97 and 242,616.56 is: 334,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,561.60 : 616,261.97 = 242,616.56 : x
  2. Step 2: Convert to fraction form
    446,561.60/616,261.97 = 242,616.56/x
  3. Step 3: Cross multiply
    446,561.60x = 616,261.97 × 242,616.56
  4. Step 4: Simplify right side
    446,561.60x = 149,515,356,745.46
  5. Step 5: Solve for x
    x = 149,515,356,745.46/446,561.60
  6. Step 6: Final answer
    x = 334,814.63

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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.