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Finding the Fourth Proportional to 371,365.88, 512,491.14 and 201,600

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Solution

The fourth proportional to 371,365.88, 512,491.14 and 201,600 is: 278,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,365.88 : 512,491.14 = 201,600 : x
  2. Step 2: Convert to fraction form
    371,365.88/512,491.14 = 201,600/x
  3. Step 3: Cross multiply
    371,365.88x = 512,491.14 × 201,600
  4. Step 4: Simplify right side
    371,365.88x = 103,318,213,824
  5. Step 5: Solve for x
    x = 103,318,213,824/371,365.88
  6. Step 6: Final answer
    x = 278,211.38

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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.