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Finding the Fourth Proportional to 298,106.52, 411,251.29 and 177,179.08

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Solution

The fourth proportional to 298,106.52, 411,251.29 and 177,179.08 is: 244,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,106.52 : 411,251.29 = 177,179.08 : x
  2. Step 2: Convert to fraction form
    298,106.52/411,251.29 = 177,179.08/x
  3. Step 3: Cross multiply
    298,106.52x = 411,251.29 × 177,179.08
  4. Step 4: Simplify right side
    298,106.52x = 72,865,125,211.01
  5. Step 5: Solve for x
    x = 72,865,125,211.01/298,106.52
  6. Step 6: Final answer
    x = 244,426.47

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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.