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Finding the Fourth Proportional to 446,514.66, 616,187.70 and 242,563.95

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Solution

The fourth proportional to 446,514.66, 616,187.70 and 242,563.95 is: 334,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,514.66 : 616,187.70 = 242,563.95 : x
  2. Step 2: Convert to fraction form
    446,514.66/616,187.70 = 242,563.95/x
  3. Step 3: Cross multiply
    446,514.66x = 616,187.70 × 242,563.95
  4. Step 4: Simplify right side
    446,514.66x = 149,464,922,453.42
  5. Step 5: Solve for x
    x = 149,464,922,453.42/446,514.66
  6. Step 6: Final answer
    x = 334,736.88

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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.