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Finding the Fourth Proportional to 505,209.24, 697,205.63 and 275,780.12

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Solution

The fourth proportional to 505,209.24, 697,205.63 and 275,780.12 is: 380,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,209.24 : 697,205.63 = 275,780.12 : x
  2. Step 2: Convert to fraction form
    505,209.24/697,205.63 = 275,780.12/x
  3. Step 3: Cross multiply
    505,209.24x = 697,205.63 × 275,780.12
  4. Step 4: Simplify right side
    505,209.24x = 192,275,452,306.08
  5. Step 5: Solve for x
    x = 192,275,452,306.08/505,209.24
  6. Step 6: Final answer
    x = 380,585.78

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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.