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Finding the Fourth Proportional to 294,343.86, 441,474.30 and 94,638.86

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Solution

The fourth proportional to 294,343.86, 441,474.30 and 94,638.86 is: 141,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,343.86 : 441,474.30 = 94,638.86 : x
  2. Step 2: Convert to fraction form
    294,343.86/441,474.30 = 94,638.86/x
  3. Step 3: Cross multiply
    294,343.86x = 441,474.30 × 94,638.86
  4. Step 4: Simplify right side
    294,343.86x = 41,780,624,471.30
  5. Step 5: Solve for x
    x = 41,780,624,471.30/294,343.86
  6. Step 6: Final answer
    x = 141,944.95

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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.