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Finding the Fourth Proportional to 831,361.38, 1,147,181.22 and 468,763.64

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Solution

The fourth proportional to 831,361.38, 1,147,181.22 and 468,763.64 is: 646,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,361.38 : 1,147,181.22 = 468,763.64 : x
  2. Step 2: Convert to fraction form
    831,361.38/1,147,181.22 = 468,763.64/x
  3. Step 3: Cross multiply
    831,361.38x = 1,147,181.22 × 468,763.64
  4. Step 4: Simplify right side
    831,361.38x = 537,756,838,690.94
  5. Step 5: Solve for x
    x = 537,756,838,690.94/831,361.38
  6. Step 6: Final answer
    x = 646,838.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.