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Finding the Fourth Proportional to 277,852.56, 416,335.96 and 177,930.55

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Solution

The fourth proportional to 277,852.56, 416,335.96 and 177,930.55 is: 266,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852.56 : 416,335.96 = 177,930.55 : x
  2. Step 2: Convert to fraction form
    277,852.56/416,335.96 = 177,930.55/x
  3. Step 3: Cross multiply
    277,852.56x = 416,335.96 × 177,930.55
  4. Step 4: Simplify right side
    277,852.56x = 74,078,886,347.58
  5. Step 5: Solve for x
    x = 74,078,886,347.58/277,852.56
  6. Step 6: Final answer
    x = 266,612.21

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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.