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Finding the Fourth Proportional to 397,992.60, 596,114.10 and 161,213.40

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Solution

The fourth proportional to 397,992.60, 596,114.10 and 161,213.40 is: 241,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,992.60 : 596,114.10 = 161,213.40 : x
  2. Step 2: Convert to fraction form
    397,992.60/596,114.10 = 161,213.40/x
  3. Step 3: Cross multiply
    397,992.60x = 596,114.10 × 161,213.40
  4. Step 4: Simplify right side
    397,992.60x = 96,101,580,848.94
  5. Step 5: Solve for x
    x = 96,101,580,848.94/397,992.60
  6. Step 6: Final answer
    x = 241,465.75

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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.