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Finding the Fourth Proportional to 294,083.94, 441,084.24 and 94,378.56

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Solution

The fourth proportional to 294,083.94, 441,084.24 and 94,378.56 is: 141,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,083.94 : 441,084.24 = 94,378.56 : x
  2. Step 2: Convert to fraction form
    294,083.94/441,084.24 = 94,378.56/x
  3. Step 3: Cross multiply
    294,083.94x = 441,084.24 × 94,378.56
  4. Step 4: Simplify right side
    294,083.94x = 41,628,895,409.89
  5. Step 5: Solve for x
    x = 41,628,895,409.89/294,083.94
  6. Step 6: Final answer
    x = 141,554.47

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Why These Related Problems?

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