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Finding the Fourth Proportional to 313,841.00, 470,752.79 and 114,165.06

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Solution

The fourth proportional to 313,841.00, 470,752.79 and 114,165.06 is: 171,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,841.00 : 470,752.79 = 114,165.06 : x
  2. Step 2: Convert to fraction form
    313,841.00/470,752.79 = 114,165.06/x
  3. Step 3: Cross multiply
    313,841.00x = 470,752.79 × 114,165.06
  4. Step 4: Simplify right side
    313,841.00x = 53,743,519,944.69
  5. Step 5: Solve for x
    x = 53,743,519,944.69/313,841.00
  6. Step 6: Final answer
    x = 171,244.42

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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.