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Finding the Fourth Proportional to 500,811.74, 691,359.53 and 285,910.23

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Solution

The fourth proportional to 500,811.74, 691,359.53 and 285,910.23 is: 394,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,811.74 : 691,359.53 = 285,910.23 : x
  2. Step 2: Convert to fraction form
    500,811.74/691,359.53 = 285,910.23/x
  3. Step 3: Cross multiply
    500,811.74x = 691,359.53 × 285,910.23
  4. Step 4: Simplify right side
    500,811.74x = 197,666,762,234.99
  5. Step 5: Solve for x
    x = 197,666,762,234.99/500,811.74
  6. Step 6: Final answer
    x = 394,692.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.