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Finding the Fourth Proportional to 301,736, 452,604 and 77,096.94

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Solution

The fourth proportional to 301,736, 452,604 and 77,096.94 is: 115,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,736 : 452,604 = 77,096.94 : x
  2. Step 2: Convert to fraction form
    301,736/452,604 = 77,096.94/x
  3. Step 3: Cross multiply
    301,736x = 452,604 × 77,096.94
  4. Step 4: Simplify right side
    301,736x = 34,894,383,431.76
  5. Step 5: Solve for x
    x = 34,894,383,431.76/301,736
  6. Step 6: Final answer
    x = 115,645.41

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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.