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Finding the Fourth Proportional to 369,212.64, 509,512.80 and 199,446.24

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Solution

The fourth proportional to 369,212.64, 509,512.80 and 199,446.24 is: 275,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,212.64 : 509,512.80 = 199,446.24 : x
  2. Step 2: Convert to fraction form
    369,212.64/509,512.80 = 199,446.24/x
  3. Step 3: Cross multiply
    369,212.64x = 509,512.80 × 199,446.24
  4. Step 4: Simplify right side
    369,212.64x = 101,620,412,191.87
  5. Step 5: Solve for x
    x = 101,620,412,191.87/369,212.64
  6. Step 6: Final answer
    x = 275,235.46

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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.