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Finding the Fourth Proportional to 313,660.96, 470,491.52 and 113,944.16

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Solution

The fourth proportional to 313,660.96, 470,491.52 and 113,944.16 is: 170,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,660.96 : 470,491.52 = 113,944.16 : x
  2. Step 2: Convert to fraction form
    313,660.96/470,491.52 = 113,944.16/x
  3. Step 3: Cross multiply
    313,660.96x = 470,491.52 × 113,944.16
  4. Step 4: Simplify right side
    313,660.96x = 53,609,761,033.52
  5. Step 5: Solve for x
    x = 53,609,761,033.52/313,660.96
  6. Step 6: Final answer
    x = 170,916.27

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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.