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Finding the Fourth Proportional to 313,930.80, 470,896.20 and 100,698.30

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Solution

The fourth proportional to 313,930.80, 470,896.20 and 100,698.30 is: 151,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,930.80 : 470,896.20 = 100,698.30 : x
  2. Step 2: Convert to fraction form
    313,930.80/470,896.20 = 100,698.30/x
  3. Step 3: Cross multiply
    313,930.80x = 470,896.20 × 100,698.30
  4. Step 4: Simplify right side
    313,930.80x = 47,418,446,816.46
  5. Step 5: Solve for x
    x = 47,418,446,816.46/313,930.80
  6. Step 6: Final answer
    x = 151,047.45

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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.