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Finding the Fourth Proportional to 298,515.77, 411,945.84 and 162,551.34

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Solution

The fourth proportional to 298,515.77, 411,945.84 and 162,551.34 is: 224,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,515.77 : 411,945.84 = 162,551.34 : x
  2. Step 2: Convert to fraction form
    298,515.77/411,945.84 = 162,551.34/x
  3. Step 3: Cross multiply
    298,515.77x = 411,945.84 × 162,551.34
  4. Step 4: Simplify right side
    298,515.77x = 66,962,348,299.43
  5. Step 5: Solve for x
    x = 66,962,348,299.43/298,515.77
  6. Step 6: Final answer
    x = 224,317.63

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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.