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Finding the Fourth Proportional to 539,218.56, 809,527.68 and 414,647.04

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Solution

The fourth proportional to 539,218.56, 809,527.68 and 414,647.04 is: 622,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,218.56 : 809,527.68 = 414,647.04 : x
  2. Step 2: Convert to fraction form
    539,218.56/809,527.68 = 414,647.04/x
  3. Step 3: Cross multiply
    539,218.56x = 809,527.68 × 414,647.04
  4. Step 4: Simplify right side
    539,218.56x = 335,668,256,310.07
  5. Step 5: Solve for x
    x = 335,668,256,310.07/539,218.56
  6. Step 6: Final answer
    x = 622,508.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.