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Finding the Fourth Proportional to 809,036, 1,116,470.16 and 451,340

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Solution

The fourth proportional to 809,036, 1,116,470.16 and 451,340 is: 622,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,036 : 1,116,470.16 = 451,340 : x
  2. Step 2: Convert to fraction form
    809,036/1,116,470.16 = 451,340/x
  3. Step 3: Cross multiply
    809,036x = 1,116,470.16 × 451,340
  4. Step 4: Simplify right side
    809,036x = 503,907,642,014.40
  5. Step 5: Solve for x
    x = 503,907,642,014.40/809,036
  6. Step 6: Final answer
    x = 622,849.47

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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.