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Finding the Fourth Proportional to 296,318.50, 408,919.53 and 162,182.50

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Solution

The fourth proportional to 296,318.50, 408,919.53 and 162,182.50 is: 223,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,318.50 : 408,919.53 = 162,182.50 : x
  2. Step 2: Convert to fraction form
    296,318.50/408,919.53 = 162,182.50/x
  3. Step 3: Cross multiply
    296,318.50x = 408,919.53 × 162,182.50
  4. Step 4: Simplify right side
    296,318.50x = 66,319,591,674.23
  5. Step 5: Solve for x
    x = 66,319,591,674.23/296,318.50
  6. Step 6: Final answer
    x = 223,811.85

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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.