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Finding the Fourth Proportional to 353,765.77, 530,205.74 and 278,589

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Solution

The fourth proportional to 353,765.77, 530,205.74 and 278,589 is: 417,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,765.77 : 530,205.74 = 278,589 : x
  2. Step 2: Convert to fraction form
    353,765.77/530,205.74 = 278,589/x
  3. Step 3: Cross multiply
    353,765.77x = 530,205.74 × 278,589
  4. Step 4: Simplify right side
    353,765.77x = 147,709,486,900.86
  5. Step 5: Solve for x
    x = 147,709,486,900.86/353,765.77
  6. Step 6: Final answer
    x = 417,534.71

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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.