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Finding the Fourth Proportional to 277,870.92, 416,970 and 192,548.76

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Solution

The fourth proportional to 277,870.92, 416,970 and 192,548.76 is: 288,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,870.92 : 416,970 = 192,548.76 : x
  2. Step 2: Convert to fraction form
    277,870.92/416,970 = 192,548.76/x
  3. Step 3: Cross multiply
    277,870.92x = 416,970 × 192,548.76
  4. Step 4: Simplify right side
    277,870.92x = 80,287,056,457.20
  5. Step 5: Solve for x
    x = 80,287,056,457.20/277,870.92
  6. Step 6: Final answer
    x = 288,936.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.