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Finding the Fourth Proportional to 298,065.78, 446,121.30 and 162,922.86

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Solution

The fourth proportional to 298,065.78, 446,121.30 and 162,922.86 is: 243,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,065.78 : 446,121.30 = 162,922.86 : x
  2. Step 2: Convert to fraction form
    298,065.78/446,121.30 = 162,922.86/x
  3. Step 3: Cross multiply
    298,065.78x = 446,121.30 × 162,922.86
  4. Step 4: Simplify right side
    298,065.78x = 72,683,358,102.92
  5. Step 5: Solve for x
    x = 72,683,358,102.92/298,065.78
  6. Step 6: Final answer
    x = 243,850.06

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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.