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Finding the Fourth Proportional to 362,200.35, 543,869.19 and 306,767.19

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Solution

The fourth proportional to 362,200.35, 543,869.19 and 306,767.19 is: 460,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,200.35 : 543,869.19 = 306,767.19 : x
  2. Step 2: Convert to fraction form
    362,200.35/543,869.19 = 306,767.19/x
  3. Step 3: Cross multiply
    362,200.35x = 543,869.19 × 306,767.19
  4. Step 4: Simplify right side
    362,200.35x = 166,841,223,143.88
  5. Step 5: Solve for x
    x = 166,841,223,143.88/362,200.35
  6. Step 6: Final answer
    x = 460,632.42

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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.