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Finding the Fourth Proportional to 301,195.28, 415,618.66 and 180,333.43

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Solution

The fourth proportional to 301,195.28, 415,618.66 and 180,333.43 is: 248,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,195.28 : 415,618.66 = 180,333.43 : x
  2. Step 2: Convert to fraction form
    301,195.28/415,618.66 = 180,333.43/x
  3. Step 3: Cross multiply
    301,195.28x = 415,618.66 × 180,333.43
  4. Step 4: Simplify right side
    301,195.28x = 74,949,938,529.80
  5. Step 5: Solve for x
    x = 74,949,938,529.80/301,195.28
  6. Step 6: Final answer
    x = 248,841.68

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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.