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Finding the Fourth Proportional to 298,458.48, 447,463.98 and 180,102

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Solution

The fourth proportional to 298,458.48, 447,463.98 and 180,102 is: 270,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,458.48 : 447,463.98 = 180,102 : x
  2. Step 2: Convert to fraction form
    298,458.48/447,463.98 = 180,102/x
  3. Step 3: Cross multiply
    298,458.48x = 447,463.98 × 180,102
  4. Step 4: Simplify right side
    298,458.48x = 80,589,157,725.96
  5. Step 5: Solve for x
    x = 80,589,157,725.96/298,458.48
  6. Step 6: Final answer
    x = 270,017.99

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