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Finding the Fourth Proportional to 691,434, 1,037,325.96 and 192,798

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Solution

The fourth proportional to 691,434, 1,037,325.96 and 192,798 is: 289,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,434 : 1,037,325.96 = 192,798 : x
  2. Step 2: Convert to fraction form
    691,434/1,037,325.96 = 192,798/x
  3. Step 3: Cross multiply
    691,434x = 1,037,325.96 × 192,798
  4. Step 4: Simplify right side
    691,434x = 199,994,370,436.08
  5. Step 5: Solve for x
    x = 199,994,370,436.08/691,434
  6. Step 6: Final answer
    x = 289,245.79

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