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Finding the Fourth Proportional to 277,056.96, 382,311 and 169,657.44

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Solution

The fourth proportional to 277,056.96, 382,311 and 169,657.44 is: 234,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,056.96 : 382,311 = 169,657.44 : x
  2. Step 2: Convert to fraction form
    277,056.96/382,311 = 169,657.44/x
  3. Step 3: Cross multiply
    277,056.96x = 382,311 × 169,657.44
  4. Step 4: Simplify right side
    277,056.96x = 64,861,905,543.84
  5. Step 5: Solve for x
    x = 64,861,905,543.84/277,056.96
  6. Step 6: Final answer
    x = 234,110.36

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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.