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Finding the Fourth Proportional to 357,589.37, 493,478.39 and 196,459.31

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Solution

The fourth proportional to 357,589.37, 493,478.39 and 196,459.31 is: 271,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,589.37 : 493,478.39 = 196,459.31 : x
  2. Step 2: Convert to fraction form
    357,589.37/493,478.39 = 196,459.31/x
  3. Step 3: Cross multiply
    357,589.37x = 493,478.39 × 196,459.31
  4. Step 4: Simplify right side
    357,589.37x = 96,948,423,999.31
  5. Step 5: Solve for x
    x = 96,948,423,999.31/357,589.37
  6. Step 6: Final answer
    x = 271,116.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.