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Finding the Fourth Proportional to 301,356.28, 415,929 and 199,383.76

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Solution

The fourth proportional to 301,356.28, 415,929 and 199,383.76 is: 275,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,356.28 : 415,929 = 199,383.76 : x
  2. Step 2: Convert to fraction form
    301,356.28/415,929 = 199,383.76/x
  3. Step 3: Cross multiply
    301,356.28x = 415,929 × 199,383.76
  4. Step 4: Simplify right side
    301,356.28x = 82,929,487,913.04
  5. Step 5: Solve for x
    x = 82,929,487,913.04/301,356.28
  6. Step 6: Final answer
    x = 275,187.52

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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.