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Finding the Fourth Proportional to 284,881.39, 393,178.96 and 177,486.02

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Solution

The fourth proportional to 284,881.39, 393,178.96 and 177,486.02 is: 244,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,881.39 : 393,178.96 = 177,486.02 : x
  2. Step 2: Convert to fraction form
    284,881.39/393,178.96 = 177,486.02/x
  3. Step 3: Cross multiply
    284,881.39x = 393,178.96 × 177,486.02
  4. Step 4: Simplify right side
    284,881.39x = 69,783,768,488.52
  5. Step 5: Solve for x
    x = 69,783,768,488.52/284,881.39
  6. Step 6: Final answer
    x = 244,957.28

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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.