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Finding the Fourth Proportional to 539,811.40, 809,025.90 and 414,531.40

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Solution

The fourth proportional to 539,811.40, 809,025.90 and 414,531.40 is: 621,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,811.40 : 809,025.90 = 414,531.40 : x
  2. Step 2: Convert to fraction form
    539,811.40/809,025.90 = 414,531.40/x
  3. Step 3: Cross multiply
    539,811.40x = 809,025.90 × 414,531.40
  4. Step 4: Simplify right side
    539,811.40x = 335,366,638,963.26
  5. Step 5: Solve for x
    x = 335,366,638,963.26/539,811.40
  6. Step 6: Final answer
    x = 621,266.31

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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.