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Finding the Fourth Proportional to 446,716.22, 616,470.90 and 242,768.84

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Solution

The fourth proportional to 446,716.22, 616,470.90 and 242,768.84 is: 335,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,716.22 : 616,470.90 = 242,768.84 : x
  2. Step 2: Convert to fraction form
    446,716.22/616,470.90 = 242,768.84/x
  3. Step 3: Cross multiply
    446,716.22x = 616,470.90 × 242,768.84
  4. Step 4: Simplify right side
    446,716.22x = 149,659,925,286.76
  5. Step 5: Solve for x
    x = 149,659,925,286.76/446,716.22
  6. Step 6: Final answer
    x = 335,022.37

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1.5x scale

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.