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Finding the Fourth Proportional to 357,491.22, 493,343.82 and 196,361.16

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Solution

The fourth proportional to 357,491.22, 493,343.82 and 196,361.16 is: 270,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,491.22 : 493,343.82 = 196,361.16 : x
  2. Step 2: Convert to fraction form
    357,491.22/493,343.82 = 196,361.16/x
  3. Step 3: Cross multiply
    357,491.22x = 493,343.82 × 196,361.16
  4. Step 4: Simplify right side
    357,491.22x = 96,873,564,774.03
  5. Step 5: Solve for x
    x = 96,873,564,774.03/357,491.22
  6. Step 6: Final answer
    x = 270,981.66

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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.