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Finding the Fourth Proportional to 298,356.66, 446,912.91 and 132,261.30

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Solution

The fourth proportional to 298,356.66, 446,912.91 and 132,261.30 is: 198,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,356.66 : 446,912.91 = 132,261.30 : x
  2. Step 2: Convert to fraction form
    298,356.66/446,912.91 = 132,261.30/x
  3. Step 3: Cross multiply
    298,356.66x = 446,912.91 × 132,261.30
  4. Step 4: Simplify right side
    298,356.66x = 59,109,282,463.38
  5. Step 5: Solve for x
    x = 59,109,282,463.38/298,356.66
  6. Step 6: Final answer
    x = 198,116.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.