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Finding the Fourth Proportional to 298,107.02, 411,251.98 and 177,179.59

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Solution

The fourth proportional to 298,107.02, 411,251.98 and 177,179.59 is: 244,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.02 : 411,251.98 = 177,179.59 : x
  2. Step 2: Convert to fraction form
    298,107.02/411,251.98 = 177,179.59/x
  3. Step 3: Cross multiply
    298,107.02x = 411,251.98 × 177,179.59
  4. Step 4: Simplify right side
    298,107.02x = 72,865,457,203.09
  5. Step 5: Solve for x
    x = 72,865,457,203.09/298,107.02
  6. Step 6: Final answer
    x = 244,427.18

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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.