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Finding the Fourth Proportional to 313,378.38, 432,450.36 and 170,135.33

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Solution

The fourth proportional to 313,378.38, 432,450.36 and 170,135.33 is: 234,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,378.38 : 432,450.36 = 170,135.33 : x
  2. Step 2: Convert to fraction form
    313,378.38/432,450.36 = 170,135.33/x
  3. Step 3: Cross multiply
    313,378.38x = 432,450.36 × 170,135.33
  4. Step 4: Simplify right side
    313,378.38x = 73,575,082,544.97
  5. Step 5: Solve for x
    x = 73,575,082,544.97/313,378.38
  6. Step 6: Final answer
    x = 234,780.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.