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Finding the Fourth Proportional to 313,976.10, 470,808.80 and 134,033.49

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Solution

The fourth proportional to 313,976.10, 470,808.80 and 134,033.49 is: 200,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,976.10 : 470,808.80 = 134,033.49 : x
  2. Step 2: Convert to fraction form
    313,976.10/470,808.80 = 134,033.49/x
  3. Step 3: Cross multiply
    313,976.10x = 470,808.80 × 134,033.49
  4. Step 4: Simplify right side
    313,976.10x = 63,104,146,586.71
  5. Step 5: Solve for x
    x = 63,104,146,586.71/313,976.10
  6. Step 6: Final answer
    x = 200,983.92

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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.