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Finding the Fourth Proportional to 463,767.33, 640,311.86 and 289,603.62

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Solution

The fourth proportional to 463,767.33, 640,311.86 and 289,603.62 is: 399,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,767.33 : 640,311.86 = 289,603.62 : x
  2. Step 2: Convert to fraction form
    463,767.33/640,311.86 = 289,603.62/x
  3. Step 3: Cross multiply
    463,767.33x = 640,311.86 × 289,603.62
  4. Step 4: Simplify right side
    463,767.33x = 185,436,631,136.92
  5. Step 5: Solve for x
    x = 185,436,631,136.92/463,767.33
  6. Step 6: Final answer
    x = 399,848.41

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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.