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Finding the Fourth Proportional to 392,661.89, 589,022.67 and 152,672.69

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Solution

The fourth proportional to 392,661.89, 589,022.67 and 152,672.69 is: 229,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,661.89 : 589,022.67 = 152,672.69 : x
  2. Step 2: Convert to fraction form
    392,661.89/589,022.67 = 152,672.69/x
  3. Step 3: Cross multiply
    392,661.89x = 589,022.67 × 152,672.69
  4. Step 4: Simplify right side
    392,661.89x = 89,927,672,554.77
  5. Step 5: Solve for x
    x = 89,927,672,554.77/392,661.89
  6. Step 6: Final answer
    x = 229,020.63

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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.