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Finding the Fourth Proportional to 840,774, 1,160,268.12 and 538,968

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Solution

The fourth proportional to 840,774, 1,160,268.12 and 538,968 is: 743,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,774 : 1,160,268.12 = 538,968 : x
  2. Step 2: Convert to fraction form
    840,774/1,160,268.12 = 538,968/x
  3. Step 3: Cross multiply
    840,774x = 1,160,268.12 × 538,968
  4. Step 4: Simplify right side
    840,774x = 625,347,388,100.16
  5. Step 5: Solve for x
    x = 625,347,388,100.16/840,774
  6. Step 6: Final answer
    x = 743,775.84

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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.