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Finding the Fourth Proportional to 290,090.21, 400,331.38 and 162,775.22

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Solution

The fourth proportional to 290,090.21, 400,331.38 and 162,775.22 is: 224,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,090.21 : 400,331.38 = 162,775.22 : x
  2. Step 2: Convert to fraction form
    290,090.21/400,331.38 = 162,775.22/x
  3. Step 3: Cross multiply
    290,090.21x = 400,331.38 × 162,775.22
  4. Step 4: Simplify right side
    290,090.21x = 65,164,028,452.40
  5. Step 5: Solve for x
    x = 65,164,028,452.40/290,090.21
  6. Step 6: Final answer
    x = 224,633.67

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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.