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Finding the Fourth Proportional to 287,838.36, 397,326.36 and 216,425.76

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Solution

The fourth proportional to 287,838.36, 397,326.36 and 216,425.76 is: 298,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,838.36 : 397,326.36 = 216,425.76 : x
  2. Step 2: Convert to fraction form
    287,838.36/397,326.36 = 216,425.76/x
  3. Step 3: Cross multiply
    287,838.36x = 397,326.36 × 216,425.76
  4. Step 4: Simplify right side
    287,838.36x = 85,991,659,431.03
  5. Step 5: Solve for x
    x = 85,991,659,431.03/287,838.36
  6. Step 6: Final answer
    x = 298,749.82

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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.