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Finding the Fourth Proportional to 306,075.38, 422,378.25 and 170,107.70

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Solution

The fourth proportional to 306,075.38, 422,378.25 and 170,107.70 is: 234,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.38 : 422,378.25 = 170,107.70 : x
  2. Step 2: Convert to fraction form
    306,075.38/422,378.25 = 170,107.70/x
  3. Step 3: Cross multiply
    306,075.38x = 422,378.25 × 170,107.70
  4. Step 4: Simplify right side
    306,075.38x = 71,849,792,637.53
  5. Step 5: Solve for x
    x = 71,849,792,637.53/306,075.38
  6. Step 6: Final answer
    x = 234,745.42

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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.