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Finding the Fourth Proportional to 807,320, 1,114,136.16 and 449,624

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Solution

The fourth proportional to 807,320, 1,114,136.16 and 449,624 is: 620,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,320 : 1,114,136.16 = 449,624 : x
  2. Step 2: Convert to fraction form
    807,320/1,114,136.16 = 449,624/x
  3. Step 3: Cross multiply
    807,320x = 1,114,136.16 × 449,624
  4. Step 4: Simplify right side
    807,320x = 500,942,356,803.84
  5. Step 5: Solve for x
    x = 500,942,356,803.84/807,320
  6. Step 6: Final answer
    x = 620,500.37

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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.