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Finding the Fourth Proportional to 538,850.97, 743,598.41 and 297,133.47

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Solution

The fourth proportional to 538,850.97, 743,598.41 and 297,133.47 is: 410,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,850.97 : 743,598.41 = 297,133.47 : x
  2. Step 2: Convert to fraction form
    538,850.97/743,598.41 = 297,133.47/x
  3. Step 3: Cross multiply
    538,850.97x = 743,598.41 × 297,133.47
  4. Step 4: Simplify right side
    538,850.97x = 220,947,974,364.12
  5. Step 5: Solve for x
    x = 220,947,974,364.12/538,850.97
  6. Step 6: Final answer
    x = 410,035.40

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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.