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Finding the Fourth Proportional to 413,556.40, 620,442.60 and 133,080.40

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Solution

The fourth proportional to 413,556.40, 620,442.60 and 133,080.40 is: 199,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,556.40 : 620,442.60 = 133,080.40 : x
  2. Step 2: Convert to fraction form
    413,556.40/620,442.60 = 133,080.40/x
  3. Step 3: Cross multiply
    413,556.40x = 620,442.60 × 133,080.40
  4. Step 4: Simplify right side
    413,556.40x = 82,568,749,385.04
  5. Step 5: Solve for x
    x = 82,568,749,385.04/413,556.40
  6. Step 6: Final answer
    x = 199,655.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.