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Finding the Fourth Proportional to 284,418.14, 392,494.38 and 155,356.58

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Solution

The fourth proportional to 284,418.14, 392,494.38 and 155,356.58 is: 214,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,418.14 : 392,494.38 = 155,356.58 : x
  2. Step 2: Convert to fraction form
    284,418.14/392,494.38 = 155,356.58/x
  3. Step 3: Cross multiply
    284,418.14x = 392,494.38 × 155,356.58
  4. Step 4: Simplify right side
    284,418.14x = 60,976,582,583.55
  5. Step 5: Solve for x
    x = 60,976,582,583.55/284,418.14
  6. Step 6: Final answer
    x = 214,390.63

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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.