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Finding the Fourth Proportional to 313,711.11, 470,358.63 and 114,007.77

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Solution

The fourth proportional to 313,711.11, 470,358.63 and 114,007.77 is: 170,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,711.11 : 470,358.63 = 114,007.77 : x
  2. Step 2: Convert to fraction form
    313,711.11/470,358.63 = 114,007.77/x
  3. Step 3: Cross multiply
    313,711.11x = 470,358.63 × 114,007.77
  4. Step 4: Simplify right side
    313,711.11x = 53,624,538,506.56
  5. Step 5: Solve for x
    x = 53,624,538,506.56/313,711.11
  6. Step 6: Final answer
    x = 170,936.05

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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.