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Finding the Fourth Proportional to 392,648.93, 589,065.70 and 126,399.50

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Solution

The fourth proportional to 392,648.93, 589,065.70 and 126,399.50 is: 189,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,648.93 : 589,065.70 = 126,399.50 : x
  2. Step 2: Convert to fraction form
    392,648.93/589,065.70 = 126,399.50/x
  3. Step 3: Cross multiply
    392,648.93x = 589,065.70 × 126,399.50
  4. Step 4: Simplify right side
    392,648.93x = 74,457,609,947.15
  5. Step 5: Solve for x
    x = 74,457,609,947.15/392,648.93
  6. Step 6: Final answer
    x = 189,628.96

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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.