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Finding the Fourth Proportional to 403,884.84, 557,361.54 and 234,217.56

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Solution

The fourth proportional to 403,884.84, 557,361.54 and 234,217.56 is: 323,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,884.84 : 557,361.54 = 234,217.56 : x
  2. Step 2: Convert to fraction form
    403,884.84/557,361.54 = 234,217.56/x
  3. Step 3: Cross multiply
    403,884.84x = 557,361.54 × 234,217.56
  4. Step 4: Simplify right side
    403,884.84x = 130,543,859,936.64
  5. Step 5: Solve for x
    x = 130,543,859,936.64/403,884.84
  6. Step 6: Final answer
    x = 323,220.50

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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.