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Finding the Fourth Proportional to 397,993.60, 596,115.60 and 161,214.40

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Solution

The fourth proportional to 397,993.60, 596,115.60 and 161,214.40 is: 241,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,993.60 : 596,115.60 = 161,214.40 : x
  2. Step 2: Convert to fraction form
    397,993.60/596,115.60 = 161,214.40/x
  3. Step 3: Cross multiply
    397,993.60x = 596,115.60 × 161,214.40
  4. Step 4: Simplify right side
    397,993.60x = 96,102,418,784.64
  5. Step 5: Solve for x
    x = 96,102,418,784.64/397,993.60
  6. Step 6: Final answer
    x = 241,467.25

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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.