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Finding the Fourth Proportional to 270,635.40, 405,953.10 and 130,408.20

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Solution

The fourth proportional to 270,635.40, 405,953.10 and 130,408.20 is: 195,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,635.40 : 405,953.10 = 130,408.20 : x
  2. Step 2: Convert to fraction form
    270,635.40/405,953.10 = 130,408.20/x
  3. Step 3: Cross multiply
    270,635.40x = 405,953.10 × 130,408.20
  4. Step 4: Simplify right side
    270,635.40x = 52,939,613,055.42
  5. Step 5: Solve for x
    x = 52,939,613,055.42/270,635.40
  6. Step 6: Final answer
    x = 195,612.30

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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.