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Finding the Fourth Proportional to 296,917.83, 409,745.66 and 160,952.31

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Solution

The fourth proportional to 296,917.83, 409,745.66 and 160,952.31 is: 222,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,917.83 : 409,745.66 = 160,952.31 : x
  2. Step 2: Convert to fraction form
    296,917.83/409,745.66 = 160,952.31/x
  3. Step 3: Cross multiply
    296,917.83x = 409,745.66 × 160,952.31
  4. Step 4: Simplify right side
    296,917.83x = 65,949,509,684.71
  5. Step 5: Solve for x
    x = 65,949,509,684.71/296,917.83
  6. Step 6: Final answer
    x = 222,113.67

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