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Finding the Fourth Proportional to 498,112.94, 747,446.13 and 308,676.22

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Solution

The fourth proportional to 498,112.94, 747,446.13 and 308,676.22 is: 463,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,112.94 : 747,446.13 = 308,676.22 : x
  2. Step 2: Convert to fraction form
    498,112.94/747,446.13 = 308,676.22/x
  3. Step 3: Cross multiply
    498,112.94x = 747,446.13 × 308,676.22
  4. Step 4: Simplify right side
    498,112.94x = 230,718,844,193.41
  5. Step 5: Solve for x
    x = 230,718,844,193.41/498,112.94
  6. Step 6: Final answer
    x = 463,185.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.