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Finding the Fourth Proportional to 796,349, 1,098,961.68 and 438,653

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Solution

The fourth proportional to 796,349, 1,098,961.68 and 438,653 is: 605,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,349 : 1,098,961.68 = 438,653 : x
  2. Step 2: Convert to fraction form
    796,349/1,098,961.68 = 438,653/x
  3. Step 3: Cross multiply
    796,349x = 1,098,961.68 × 438,653
  4. Step 4: Simplify right side
    796,349x = 482,062,837,817.04
  5. Step 5: Solve for x
    x = 482,062,837,817.04/796,349
  6. Step 6: Final answer
    x = 605,341.17

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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.