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Finding the Fourth Proportional to 496,742, 685,503.96 and 270,389.12

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Solution

The fourth proportional to 496,742, 685,503.96 and 270,389.12 is: 373,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,742 : 685,503.96 = 270,389.12 : x
  2. Step 2: Convert to fraction form
    496,742/685,503.96 = 270,389.12/x
  3. Step 3: Cross multiply
    496,742x = 685,503.96 × 270,389.12
  4. Step 4: Simplify right side
    496,742x = 185,352,812,500.92
  5. Step 5: Solve for x
    x = 185,352,812,500.92/496,742
  6. Step 6: Final answer
    x = 373,136.99

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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.