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Finding the Fourth Proportional to 290,144.29, 400,427.90 and 162,820.39

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Solution

The fourth proportional to 290,144.29, 400,427.90 and 162,820.39 is: 224,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,144.29 : 400,427.90 = 162,820.39 : x
  2. Step 2: Convert to fraction form
    290,144.29/400,427.90 = 162,820.39/x
  3. Step 3: Cross multiply
    290,144.29x = 400,427.90 × 162,820.39
  4. Step 4: Simplify right side
    290,144.29x = 65,197,826,531.31
  5. Step 5: Solve for x
    x = 65,197,826,531.31/290,144.29
  6. Step 6: Final answer
    x = 224,708.29

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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.