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Finding the Fourth Proportional to 298,008, 411,338.52 and 177,234.84

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Solution

The fourth proportional to 298,008, 411,338.52 and 177,234.84 is: 244,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,008 : 411,338.52 = 177,234.84 : x
  2. Step 2: Convert to fraction form
    298,008/411,338.52 = 177,234.84/x
  3. Step 3: Cross multiply
    298,008x = 411,338.52 × 177,234.84
  4. Step 4: Simplify right side
    298,008x = 72,903,516,778.04
  5. Step 5: Solve for x
    x = 72,903,516,778.04/298,008
  6. Step 6: Final answer
    x = 244,636.11

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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.