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Finding the Fourth Proportional to 538,843, 743,634.66 and 297,176.98

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Solution

The fourth proportional to 538,843, 743,634.66 and 297,176.98 is: 410,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,843 : 743,634.66 = 297,176.98 : x
  2. Step 2: Convert to fraction form
    538,843/743,634.66 = 297,176.98/x
  3. Step 3: Cross multiply
    538,843x = 743,634.66 × 297,176.98
  4. Step 4: Simplify right side
    538,843x = 220,991,102,482.13
  5. Step 5: Solve for x
    x = 220,991,102,482.13/538,843
  6. Step 6: Final answer
    x = 410,121.51

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