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Finding the Fourth Proportional to 298,758.89, 412,281.93 and 162,794.01

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Solution

The fourth proportional to 298,758.89, 412,281.93 and 162,794.01 is: 224,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,758.89 : 412,281.93 = 162,794.01 : x
  2. Step 2: Convert to fraction form
    298,758.89/412,281.93 = 162,794.01/x
  3. Step 3: Cross multiply
    298,758.89x = 412,281.93 × 162,794.01
  4. Step 4: Simplify right side
    298,758.89x = 67,117,027,821.27
  5. Step 5: Solve for x
    x = 67,117,027,821.27/298,758.89
  6. Step 6: Final answer
    x = 224,652.83

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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.