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Finding the Fourth Proportional to 300,943, 415,301.40 and 166,807

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Solution

The fourth proportional to 300,943, 415,301.40 and 166,807 is: 230,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,943 : 415,301.40 = 166,807 : x
  2. Step 2: Convert to fraction form
    300,943/415,301.40 = 166,807/x
  3. Step 3: Cross multiply
    300,943x = 415,301.40 × 166,807
  4. Step 4: Simplify right side
    300,943x = 69,275,180,629.80
  5. Step 5: Solve for x
    x = 69,275,180,629.80/300,943
  6. Step 6: Final answer
    x = 230,193.69

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