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Finding the Fourth Proportional to 538,385.94, 806,816.97 and 298,605.39

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Solution

The fourth proportional to 538,385.94, 806,816.97 and 298,605.39 is: 447,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,385.94 : 806,816.97 = 298,605.39 : x
  2. Step 2: Convert to fraction form
    538,385.94/806,816.97 = 298,605.39/x
  3. Step 3: Cross multiply
    538,385.94x = 806,816.97 × 298,605.39
  4. Step 4: Simplify right side
    538,385.94x = 240,919,895,985.47
  5. Step 5: Solve for x
    x = 240,919,895,985.47/538,385.94
  6. Step 6: Final answer
    x = 447,485.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.