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Finding the Fourth Proportional to 413,414.26, 570,544.77 and 232,138.24

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Solution

The fourth proportional to 413,414.26, 570,544.77 and 232,138.24 is: 320,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,414.26 : 570,544.77 = 232,138.24 : x
  2. Step 2: Convert to fraction form
    413,414.26/570,544.77 = 232,138.24/x
  3. Step 3: Cross multiply
    413,414.26x = 570,544.77 × 232,138.24
  4. Step 4: Simplify right side
    413,414.26x = 132,445,258,749.01
  5. Step 5: Solve for x
    x = 132,445,258,749.01/413,414.26
  6. Step 6: Final answer
    x = 320,369.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.