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Finding the Fourth Proportional to 463,190.88, 694,715.25 and 126,258.63

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Solution

The fourth proportional to 463,190.88, 694,715.25 and 126,258.63 is: 189,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,190.88 : 694,715.25 = 126,258.63 : x
  2. Step 2: Convert to fraction form
    463,190.88/694,715.25 = 126,258.63/x
  3. Step 3: Cross multiply
    463,190.88x = 694,715.25 × 126,258.63
  4. Step 4: Simplify right side
    463,190.88x = 87,713,795,705.11
  5. Step 5: Solve for x
    x = 87,713,795,705.11/463,190.88
  6. Step 6: Final answer
    x = 189,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.