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Finding the Fourth Proportional to 298,919, 412,475.28 and 178,043.78

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Solution

The fourth proportional to 298,919, 412,475.28 and 178,043.78 is: 245,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,919 : 412,475.28 = 178,043.78 : x
  2. Step 2: Convert to fraction form
    298,919/412,475.28 = 178,043.78/x
  3. Step 3: Cross multiply
    298,919x = 412,475.28 × 178,043.78
  4. Step 4: Simplify right side
    298,919x = 73,438,658,007.76
  5. Step 5: Solve for x
    x = 73,438,658,007.76/298,919
  6. Step 6: Final answer
    x = 245,680.80

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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.