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Finding the Fourth Proportional to 294,768.50, 442,246.21 and 105,224.80

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Solution

The fourth proportional to 294,768.50, 442,246.21 and 105,224.80 is: 157,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,768.50 : 442,246.21 = 105,224.80 : x
  2. Step 2: Convert to fraction form
    294,768.50/442,246.21 = 105,224.80/x
  3. Step 3: Cross multiply
    294,768.50x = 442,246.21 × 105,224.80
  4. Step 4: Simplify right side
    294,768.50x = 46,535,268,471.88
  5. Step 5: Solve for x
    x = 46,535,268,471.88/294,768.50
  6. Step 6: Final answer
    x = 157,870.56

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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.