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Finding the Fourth Proportional to 514,382.22, 709,847.35 and 284,954.36

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Solution

The fourth proportional to 514,382.22, 709,847.35 and 284,954.36 is: 393,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,382.22 : 709,847.35 = 284,954.36 : x
  2. Step 2: Convert to fraction form
    514,382.22/709,847.35 = 284,954.36/x
  3. Step 3: Cross multiply
    514,382.22x = 709,847.35 × 284,954.36
  4. Step 4: Simplify right side
    514,382.22x = 202,274,093,055.32
  5. Step 5: Solve for x
    x = 202,274,093,055.32/514,382.22
  6. Step 6: Final answer
    x = 393,236.95

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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.