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Finding the Fourth Proportional to 284,976.38, 393,255.59 and 155,914.22

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Solution

The fourth proportional to 284,976.38, 393,255.59 and 155,914.22 is: 215,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,976.38 : 393,255.59 = 155,914.22 : x
  2. Step 2: Convert to fraction form
    284,976.38/393,255.59 = 155,914.22/x
  3. Step 3: Cross multiply
    284,976.38x = 393,255.59 × 155,914.22
  4. Step 4: Simplify right side
    284,976.38x = 61,314,138,575.49
  5. Step 5: Solve for x
    x = 61,314,138,575.49/284,976.38
  6. Step 6: Final answer
    x = 215,155.16

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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.