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Finding the Fourth Proportional to 442,172.94, 610,199.19 and 240,968.94

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Solution

The fourth proportional to 442,172.94, 610,199.19 and 240,968.94 is: 332,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,172.94 : 610,199.19 = 240,968.94 : x
  2. Step 2: Convert to fraction form
    442,172.94/610,199.19 = 240,968.94/x
  3. Step 3: Cross multiply
    442,172.94x = 610,199.19 × 240,968.94
  4. Step 4: Simplify right side
    442,172.94x = 147,039,052,003.16
  5. Step 5: Solve for x
    x = 147,039,052,003.16/442,172.94
  6. Step 6: Final answer
    x = 332,537.43

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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.