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Finding the Fourth Proportional to 684,775.44, 944,671.38 and 443,136

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Solution

The fourth proportional to 684,775.44, 944,671.38 and 443,136 is: 611,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,775.44 : 944,671.38 = 443,136 : x
  2. Step 2: Convert to fraction form
    684,775.44/944,671.38 = 443,136/x
  3. Step 3: Cross multiply
    684,775.44x = 944,671.38 × 443,136
  4. Step 4: Simplify right side
    684,775.44x = 418,617,896,647.68
  5. Step 5: Solve for x
    x = 418,617,896,647.68/684,775.44
  6. Step 6: Final answer
    x = 611,321.42

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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.