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Finding the Fourth Proportional to 298,483.38, 411,917.16 and 162,522.60

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Solution

The fourth proportional to 298,483.38, 411,917.16 and 162,522.60 is: 224,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,483.38 : 411,917.16 = 162,522.60 : x
  2. Step 2: Convert to fraction form
    298,483.38/411,917.16 = 162,522.60/x
  3. Step 3: Cross multiply
    298,483.38x = 411,917.16 × 162,522.60
  4. Step 4: Simplify right side
    298,483.38x = 66,945,847,827.82
  5. Step 5: Solve for x
    x = 66,945,847,827.82/298,483.38
  6. Step 6: Final answer
    x = 224,286.69

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1.5x scale

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.