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Finding the Fourth Proportional to 313,858.56, 470,790.72 and 223,520.16

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Solution

The fourth proportional to 313,858.56, 470,790.72 and 223,520.16 is: 335,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,858.56 : 470,790.72 = 223,520.16 : x
  2. Step 2: Convert to fraction form
    313,858.56/470,790.72 = 223,520.16/x
  3. Step 3: Cross multiply
    313,858.56x = 470,790.72 × 223,520.16
  4. Step 4: Simplify right side
    313,858.56x = 105,231,217,060.92
  5. Step 5: Solve for x
    x = 105,231,217,060.92/313,858.56
  6. Step 6: Final answer
    x = 335,282.29

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1.5x scale

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.