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Finding the Fourth Proportional to 397,679.54, 596,442.30 and 154,520.19

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Solution

The fourth proportional to 397,679.54, 596,442.30 and 154,520.19 is: 231,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,679.54 : 596,442.30 = 154,520.19 : x
  2. Step 2: Convert to fraction form
    397,679.54/596,442.30 = 154,520.19/x
  3. Step 3: Cross multiply
    397,679.54x = 596,442.30 × 154,520.19
  4. Step 4: Simplify right side
    397,679.54x = 92,162,374,151.53
  5. Step 5: Solve for x
    x = 92,162,374,151.53/397,679.54
  6. Step 6: Final answer
    x = 231,750.36

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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.