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Finding the Fourth Proportional to 354,492.14, 531,745.50 and 197,718.26

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Solution

The fourth proportional to 354,492.14, 531,745.50 and 197,718.26 is: 296,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,492.14 : 531,745.50 = 197,718.26 : x
  2. Step 2: Convert to fraction form
    354,492.14/531,745.50 = 197,718.26/x
  3. Step 3: Cross multiply
    354,492.14x = 531,745.50 × 197,718.26
  4. Step 4: Simplify right side
    354,492.14x = 105,135,795,022.83
  5. Step 5: Solve for x
    x = 105,135,795,022.83/354,492.14
  6. Step 6: Final answer
    x = 296,581.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.