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Finding the Fourth Proportional to 313,600.54, 470,373.06 and 113,922.64

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Solution

The fourth proportional to 313,600.54, 470,373.06 and 113,922.64 is: 170,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,600.54 : 470,373.06 = 113,922.64 : x
  2. Step 2: Convert to fraction form
    313,600.54/470,373.06 = 113,922.64/x
  3. Step 3: Cross multiply
    313,600.54x = 470,373.06 × 113,922.64
  4. Step 4: Simplify right side
    313,600.54x = 53,586,140,780.08
  5. Step 5: Solve for x
    x = 53,586,140,780.08/313,600.54
  6. Step 6: Final answer
    x = 170,873.88

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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.