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Finding the Fourth Proportional to 301,362.24, 415,937.28 and 199,389.76

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Solution

The fourth proportional to 301,362.24, 415,937.28 and 199,389.76 is: 275,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,362.24 : 415,937.28 = 199,389.76 : x
  2. Step 2: Convert to fraction form
    301,362.24/415,937.28 = 199,389.76/x
  3. Step 3: Cross multiply
    301,362.24x = 415,937.28 × 199,389.76
  4. Step 4: Simplify right side
    301,362.24x = 82,933,634,434.25
  5. Step 5: Solve for x
    x = 82,933,634,434.25/301,362.24
  6. Step 6: Final answer
    x = 275,195.84

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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.