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Finding the Fourth Proportional to 313,792.28, 470,540.58 and 113,971.76

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Solution

The fourth proportional to 313,792.28, 470,540.58 and 113,971.76 is: 170,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,792.28 : 470,540.58 = 113,971.76 : x
  2. Step 2: Convert to fraction form
    313,792.28/470,540.58 = 113,971.76/x
  3. Step 3: Cross multiply
    313,792.28x = 470,540.58 × 113,971.76
  4. Step 4: Simplify right side
    313,792.28x = 53,628,338,054.02
  5. Step 5: Solve for x
    x = 53,628,338,054.02/313,792.28
  6. Step 6: Final answer
    x = 170,903.94

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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.