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Finding the Fourth Proportional to 313,383.38, 470,261.85 and 113,719.34

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Solution

The fourth proportional to 313,383.38, 470,261.85 and 113,719.34 is: 170,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,383.38 : 470,261.85 = 113,719.34 : x
  2. Step 2: Convert to fraction form
    313,383.38/470,261.85 = 113,719.34/x
  3. Step 3: Cross multiply
    313,383.38x = 470,261.85 × 113,719.34
  4. Step 4: Simplify right side
    313,383.38x = 53,477,868,598.06
  5. Step 5: Solve for x
    x = 53,477,868,598.06/313,383.38
  6. Step 6: Final answer
    x = 170,646.79

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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.