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Finding the Fourth Proportional to 369,201.75, 509,498.64 and 199,435.92

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Solution

The fourth proportional to 369,201.75, 509,498.64 and 199,435.92 is: 275,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,201.75 : 509,498.64 = 199,435.92 : x
  2. Step 2: Convert to fraction form
    369,201.75/509,498.64 = 199,435.92/x
  3. Step 3: Cross multiply
    369,201.75x = 509,498.64 × 199,435.92
  4. Step 4: Simplify right side
    369,201.75x = 101,612,330,007.15
  5. Step 5: Solve for x
    x = 101,612,330,007.15/369,201.75
  6. Step 6: Final answer
    x = 275,221.69

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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.