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Finding the Fourth Proportional to 323,411.60, 446,340.84 and 180,194.96

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Solution

The fourth proportional to 323,411.60, 446,340.84 and 180,194.96 is: 248,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,411.60 : 446,340.84 = 180,194.96 : x
  2. Step 2: Convert to fraction form
    323,411.60/446,340.84 = 180,194.96/x
  3. Step 3: Cross multiply
    323,411.60x = 446,340.84 × 180,194.96
  4. Step 4: Simplify right side
    323,411.60x = 80,428,369,810.17
  5. Step 5: Solve for x
    x = 80,428,369,810.17/323,411.60
  6. Step 6: Final answer
    x = 248,687.34

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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.