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Finding the Fourth Proportional to 539,138.40, 808,707.60 and 414,722.40

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Solution

The fourth proportional to 539,138.40, 808,707.60 and 414,722.40 is: 622,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,138.40 : 808,707.60 = 414,722.40 : x
  2. Step 2: Convert to fraction form
    539,138.40/808,707.60 = 414,722.40/x
  3. Step 3: Cross multiply
    539,138.40x = 808,707.60 × 414,722.40
  4. Step 4: Simplify right side
    539,138.40x = 335,389,156,770.24
  5. Step 5: Solve for x
    x = 335,389,156,770.24/539,138.40
  6. Step 6: Final answer
    x = 622,083.60

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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.