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Finding the Fourth Proportional to 357,690.37, 493,612.57 and 196,555.81

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Solution

The fourth proportional to 357,690.37, 493,612.57 and 196,555.81 is: 271,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,690.37 : 493,612.57 = 196,555.81 : x
  2. Step 2: Convert to fraction form
    357,690.37/493,612.57 = 196,555.81/x
  3. Step 3: Cross multiply
    357,690.37x = 493,612.57 × 196,555.81
  4. Step 4: Simplify right side
    357,690.37x = 97,022,418,522.53
  5. Step 5: Solve for x
    x = 97,022,418,522.53/357,690.37
  6. Step 6: Final answer
    x = 271,246.94

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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.