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Finding the Fourth Proportional to 475,408.46, 713,107.19 and 115,581.35

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Solution

The fourth proportional to 475,408.46, 713,107.19 and 115,581.35 is: 173,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,408.46 : 713,107.19 = 115,581.35 : x
  2. Step 2: Convert to fraction form
    475,408.46/713,107.19 = 115,581.35/x
  3. Step 3: Cross multiply
    475,408.46x = 713,107.19 × 115,581.35
  4. Step 4: Simplify right side
    475,408.46x = 82,421,887,571.46
  5. Step 5: Solve for x
    x = 82,421,887,571.46/475,408.46
  6. Step 6: Final answer
    x = 173,370.68

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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.