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Finding the Fourth Proportional to 296,352.50, 408,972.93 and 162,216.50

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Solution

The fourth proportional to 296,352.50, 408,972.93 and 162,216.50 is: 223,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352.50 : 408,972.93 = 162,216.50 : x
  2. Step 2: Convert to fraction form
    296,352.50/408,972.93 = 162,216.50/x
  3. Step 3: Cross multiply
    296,352.50x = 408,972.93 × 162,216.50
  4. Step 4: Simplify right side
    296,352.50x = 66,342,157,299.35
  5. Step 5: Solve for x
    x = 66,342,157,299.35/296,352.50
  6. Step 6: Final answer
    x = 223,862.32

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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.