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Finding the Fourth Proportional to 313,448, 470,171.04 and 113,768.16

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Solution

The fourth proportional to 313,448, 470,171.04 and 113,768.16 is: 170,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,448 : 470,171.04 = 113,768.16 : x
  2. Step 2: Convert to fraction form
    313,448/470,171.04 = 113,768.16/x
  3. Step 3: Cross multiply
    313,448x = 470,171.04 × 113,768.16
  4. Step 4: Simplify right side
    313,448x = 53,490,494,106.09
  5. Step 5: Solve for x
    x = 53,490,494,106.09/313,448
  6. Step 6: Final answer
    x = 170,651.89

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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.