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Finding the Fourth Proportional to 392,632.24, 589,123.32 and 205,600

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Solution

The fourth proportional to 392,632.24, 589,123.32 and 205,600 is: 308,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,632.24 : 589,123.32 = 205,600 : x
  2. Step 2: Convert to fraction form
    392,632.24/589,123.32 = 205,600/x
  3. Step 3: Cross multiply
    392,632.24x = 589,123.32 × 205,600
  4. Step 4: Simplify right side
    392,632.24x = 121,123,754,592.00
  5. Step 5: Solve for x
    x = 121,123,754,592.00/392,632.24
  6. Step 6: Final answer
    x = 308,491.62

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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.