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Finding the Fourth Proportional to 298,632.36, 412,085.30 and 177,803.04

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Solution

The fourth proportional to 298,632.36, 412,085.30 and 177,803.04 is: 245,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632.36 : 412,085.30 = 177,803.04 : x
  2. Step 2: Convert to fraction form
    298,632.36/412,085.30 = 177,803.04/x
  3. Step 3: Cross multiply
    298,632.36x = 412,085.30 × 177,803.04
  4. Step 4: Simplify right side
    298,632.36x = 73,270,018,190.30
  5. Step 5: Solve for x
    x = 73,270,018,190.30/298,632.36
  6. Step 6: Final answer
    x = 245,351.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.