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Finding the Fourth Proportional to 278,234.99, 417,369.84 and 78,570.69

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Solution

The fourth proportional to 278,234.99, 417,369.84 and 78,570.69 is: 117,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,234.99 : 417,369.84 = 78,570.69 : x
  2. Step 2: Convert to fraction form
    278,234.99/417,369.84 = 78,570.69/x
  3. Step 3: Cross multiply
    278,234.99x = 417,369.84 × 78,570.69
  4. Step 4: Simplify right side
    278,234.99x = 32,793,036,313.99
  5. Step 5: Solve for x
    x = 32,793,036,313.99/278,234.99
  6. Step 6: Final answer
    x = 117,860.94

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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.