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Finding the Fourth Proportional to 298,822.24, 412,435.88 and 178,034.28

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Solution

The fourth proportional to 298,822.24, 412,435.88 and 178,034.28 is: 245,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,822.24 : 412,435.88 = 178,034.28 : x
  2. Step 2: Convert to fraction form
    298,822.24/412,435.88 = 178,034.28/x
  3. Step 3: Cross multiply
    298,822.24x = 412,435.88 × 178,034.28
  4. Step 4: Simplify right side
    298,822.24x = 73,427,724,941.97
  5. Step 5: Solve for x
    x = 73,427,724,941.97/298,822.24
  6. Step 6: Final answer
    x = 245,723.76

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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.