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Finding the Fourth Proportional to 301,085.77, 451,628.85 and 76,463.05

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Solution

The fourth proportional to 301,085.77, 451,628.85 and 76,463.05 is: 114,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,085.77 : 451,628.85 = 76,463.05 : x
  2. Step 2: Convert to fraction form
    301,085.77/451,628.85 = 76,463.05/x
  3. Step 3: Cross multiply
    301,085.77x = 451,628.85 × 76,463.05
  4. Step 4: Simplify right side
    301,085.77x = 34,532,919,338.99
  5. Step 5: Solve for x
    x = 34,532,919,338.99/301,085.77
  6. Step 6: Final answer
    x = 114,694.62

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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.