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Finding the Fourth Proportional to 306,077.38, 422,381.01 and 170,109.70

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Solution

The fourth proportional to 306,077.38, 422,381.01 and 170,109.70 is: 234,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,077.38 : 422,381.01 = 170,109.70 : x
  2. Step 2: Convert to fraction form
    306,077.38/422,381.01 = 170,109.70/x
  3. Step 3: Cross multiply
    306,077.38x = 422,381.01 × 170,109.70
  4. Step 4: Simplify right side
    306,077.38x = 71,851,106,896.80
  5. Step 5: Solve for x
    x = 71,851,106,896.80/306,077.38
  6. Step 6: Final answer
    x = 234,748.18

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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.