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Finding the Fourth Proportional to 413,431.60, 620,147.40 and 132,977.20

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Solution

The fourth proportional to 413,431.60, 620,147.40 and 132,977.20 is: 199,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,431.60 : 620,147.40 = 132,977.20 : x
  2. Step 2: Convert to fraction form
    413,431.60/620,147.40 = 132,977.20/x
  3. Step 3: Cross multiply
    413,431.60x = 620,147.40 × 132,977.20
  4. Step 4: Simplify right side
    413,431.60x = 82,465,464,839.28
  5. Step 5: Solve for x
    x = 82,465,464,839.28/413,431.60
  6. Step 6: Final answer
    x = 199,465.80

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Why These Related Problems?

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