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Finding the Fourth Proportional to 442,532.89, 610,792.09 and 281,356.46

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Solution

The fourth proportional to 442,532.89, 610,792.09 and 281,356.46 is: 388,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,532.89 : 610,792.09 = 281,356.46 : x
  2. Step 2: Convert to fraction form
    442,532.89/610,792.09 = 281,356.46/x
  3. Step 3: Cross multiply
    442,532.89x = 610,792.09 × 281,356.46
  4. Step 4: Simplify right side
    442,532.89x = 171,850,295,777.66
  5. Step 5: Solve for x
    x = 171,850,295,777.66/442,532.89
  6. Step 6: Final answer
    x = 388,333.39

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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.