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Finding the Fourth Proportional to 298,919.23, 412,504.55 and 162,951.01

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Solution

The fourth proportional to 298,919.23, 412,504.55 and 162,951.01 is: 224,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,919.23 : 412,504.55 = 162,951.01 : x
  2. Step 2: Convert to fraction form
    298,919.23/412,504.55 = 162,951.01/x
  3. Step 3: Cross multiply
    298,919.23x = 412,504.55 × 162,951.01
  4. Step 4: Simplify right side
    298,919.23x = 67,218,031,817.15
  5. Step 5: Solve for x
    x = 67,218,031,817.15/298,919.23
  6. Step 6: Final answer
    x = 224,870.22

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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.