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Finding the Fourth Proportional to 296,433.96, 409,078.02 and 162,297

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Solution

The fourth proportional to 296,433.96, 409,078.02 and 162,297 is: 223,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,433.96 : 409,078.02 = 162,297 : x
  2. Step 2: Convert to fraction form
    296,433.96/409,078.02 = 162,297/x
  3. Step 3: Cross multiply
    296,433.96x = 409,078.02 × 162,297
  4. Step 4: Simplify right side
    296,433.96x = 66,392,135,411.94
  5. Step 5: Solve for x
    x = 66,392,135,411.94/296,433.96
  6. Step 6: Final answer
    x = 223,969.40

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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.