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Finding the Fourth Proportional to 313,404.38, 470,293.37 and 113,740.37

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Solution

The fourth proportional to 313,404.38, 470,293.37 and 113,740.37 is: 170,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404.38 : 470,293.37 = 113,740.37 : x
  2. Step 2: Convert to fraction form
    313,404.38/470,293.37 = 113,740.37/x
  3. Step 3: Cross multiply
    313,404.38x = 470,293.37 × 113,740.37
  4. Step 4: Simplify right side
    313,404.38x = 53,491,338,992.18
  5. Step 5: Solve for x
    x = 53,491,338,992.18/313,404.38
  6. Step 6: Final answer
    x = 170,678.34

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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.