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Finding the Fourth Proportional to 600,698, 828,963.24 and 332,443.28

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Solution

The fourth proportional to 600,698, 828,963.24 and 332,443.28 is: 458,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,698 : 828,963.24 = 332,443.28 : x
  2. Step 2: Convert to fraction form
    600,698/828,963.24 = 332,443.28/x
  3. Step 3: Cross multiply
    600,698x = 828,963.24 × 332,443.28
  4. Step 4: Simplify right side
    600,698x = 275,583,258,505.03
  5. Step 5: Solve for x
    x = 275,583,258,505.03/600,698
  6. Step 6: Final answer
    x = 458,771.73

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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.