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Finding the Fourth Proportional to 313,929.42, 470,894.13 and 92,313.42

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Solution

The fourth proportional to 313,929.42, 470,894.13 and 92,313.42 is: 138,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.42 : 470,894.13 = 92,313.42 : x
  2. Step 2: Convert to fraction form
    313,929.42/470,894.13 = 92,313.42/x
  3. Step 3: Cross multiply
    313,929.42x = 470,894.13 × 92,313.42
  4. Step 4: Simplify right side
    313,929.42x = 43,469,848,740.78
  5. Step 5: Solve for x
    x = 43,469,848,740.78/313,929.42
  6. Step 6: Final answer
    x = 138,470.13

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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.