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Finding the Fourth Proportional to 277,501.56, 416,235.06 and 170,905.80

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Solution

The fourth proportional to 277,501.56, 416,235.06 and 170,905.80 is: 256,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,501.56 : 416,235.06 = 170,905.80 : x
  2. Step 2: Convert to fraction form
    277,501.56/416,235.06 = 170,905.80/x
  3. Step 3: Cross multiply
    277,501.56x = 416,235.06 × 170,905.80
  4. Step 4: Simplify right side
    277,501.56x = 71,136,985,917.35
  5. Step 5: Solve for x
    x = 71,136,985,917.35/277,501.56
  6. Step 6: Final answer
    x = 256,348.06

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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.