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Finding the Fourth Proportional to 277,405.92, 382,798.36 and 169,961.34

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Solution

The fourth proportional to 277,405.92, 382,798.36 and 169,961.34 is: 234,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,405.92 : 382,798.36 = 169,961.34 : x
  2. Step 2: Convert to fraction form
    277,405.92/382,798.36 = 169,961.34/x
  3. Step 3: Cross multiply
    277,405.92x = 382,798.36 × 169,961.34
  4. Step 4: Simplify right side
    277,405.92x = 65,060,921,790.50
  5. Step 5: Solve for x
    x = 65,060,921,790.50/277,405.92
  6. Step 6: Final answer
    x = 234,533.29

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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.