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Finding the Fourth Proportional to 369,105.28, 509,365.16 and 199,339.44

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Solution

The fourth proportional to 369,105.28, 509,365.16 and 199,339.44 is: 275,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,105.28 : 509,365.16 = 199,339.44 : x
  2. Step 2: Convert to fraction form
    369,105.28/509,365.16 = 199,339.44/x
  3. Step 3: Cross multiply
    369,105.28x = 509,365.16 × 199,339.44
  4. Step 4: Simplify right side
    369,105.28x = 101,536,565,749.91
  5. Step 5: Solve for x
    x = 101,536,565,749.91/369,105.28
  6. Step 6: Final answer
    x = 275,088.36

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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.