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Finding the Fourth Proportional to 298,231.67, 411,424.09 and 177,304.34

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Solution

The fourth proportional to 298,231.67, 411,424.09 and 177,304.34 is: 244,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,231.67 : 411,424.09 = 177,304.34 : x
  2. Step 2: Convert to fraction form
    298,231.67/411,424.09 = 177,304.34/x
  3. Step 3: Cross multiply
    298,231.67x = 411,424.09 × 177,304.34
  4. Step 4: Simplify right side
    298,231.67x = 72,947,274,237.17
  5. Step 5: Solve for x
    x = 72,947,274,237.17/298,231.67
  6. Step 6: Final answer
    x = 244,599.36

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1.5x scale

Why These Related Problems?

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