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Finding the Fourth Proportional to 514,291.46, 709,557.27 and 333,142.25

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Solution

The fourth proportional to 514,291.46, 709,557.27 and 333,142.25 is: 459,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,291.46 : 709,557.27 = 333,142.25 : x
  2. Step 2: Convert to fraction form
    514,291.46/709,557.27 = 333,142.25/x
  3. Step 3: Cross multiply
    514,291.46x = 709,557.27 × 333,142.25
  4. Step 4: Simplify right side
    514,291.46x = 236,383,505,431.66
  5. Step 5: Solve for x
    x = 236,383,505,431.66/514,291.46
  6. Step 6: Final answer
    x = 459,629.46

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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.