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Finding the Fourth Proportional to 298,297.84, 447,516.86 and 98,618.24

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Solution

The fourth proportional to 298,297.84, 447,516.86 and 98,618.24 is: 147,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.84 : 447,516.86 = 98,618.24 : x
  2. Step 2: Convert to fraction form
    298,297.84/447,516.86 = 98,618.24/x
  3. Step 3: Cross multiply
    298,297.84x = 447,516.86 × 98,618.24
  4. Step 4: Simplify right side
    298,297.84x = 44,133,325,103.53
  5. Step 5: Solve for x
    x = 44,133,325,103.53/298,297.84
  6. Step 6: Final answer
    x = 147,950.54

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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.