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Finding the Fourth Proportional to 294,193.84, 441,290.94 and 205,620.28

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Solution

The fourth proportional to 294,193.84, 441,290.94 and 205,620.28 is: 308,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,193.84 : 441,290.94 = 205,620.28 : x
  2. Step 2: Convert to fraction form
    294,193.84/441,290.94 = 205,620.28/x
  3. Step 3: Cross multiply
    294,193.84x = 441,290.94 × 205,620.28
  4. Step 4: Simplify right side
    294,193.84x = 90,738,366,644.26
  5. Step 5: Solve for x
    x = 90,738,366,644.26/294,193.84
  6. Step 6: Final answer
    x = 308,430.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.