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Finding the Fourth Proportional to 298,420.27, 447,753.53 and 120,882.04

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Solution

The fourth proportional to 298,420.27, 447,753.53 and 120,882.04 is: 181,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,420.27 : 447,753.53 = 120,882.04 : x
  2. Step 2: Convert to fraction form
    298,420.27/447,753.53 = 120,882.04/x
  3. Step 3: Cross multiply
    298,420.27x = 447,753.53 × 120,882.04
  4. Step 4: Simplify right side
    298,420.27x = 54,125,360,123.60
  5. Step 5: Solve for x
    x = 54,125,360,123.60/298,420.27
  6. Step 6: Final answer
    x = 181,372.93

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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.