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Finding the Fourth Proportional to 494,464.77, 682,448.78 and 290,515.63

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Solution

The fourth proportional to 494,464.77, 682,448.78 and 290,515.63 is: 400,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,464.77 : 682,448.78 = 290,515.63 : x
  2. Step 2: Convert to fraction form
    494,464.77/682,448.78 = 290,515.63/x
  3. Step 3: Cross multiply
    494,464.77x = 682,448.78 × 290,515.63
  4. Step 4: Simplify right side
    494,464.77x = 198,262,037,264.43
  5. Step 5: Solve for x
    x = 198,262,037,264.43/494,464.77
  6. Step 6: Final answer
    x = 400,962.92

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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.