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Finding the Fourth Proportional to 442,738.44, 610,977.70 and 241,533

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Solution

The fourth proportional to 442,738.44, 610,977.70 and 241,533 is: 333,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,738.44 : 610,977.70 = 241,533 : x
  2. Step 2: Convert to fraction form
    442,738.44/610,977.70 = 241,533/x
  3. Step 3: Cross multiply
    442,738.44x = 610,977.70 × 241,533
  4. Step 4: Simplify right side
    442,738.44x = 147,571,276,814.10
  5. Step 5: Solve for x
    x = 147,571,276,814.10/442,738.44
  6. Step 6: Final answer
    x = 333,314.81

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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.