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Finding the Fourth Proportional to 277,872.80, 416,809.20 and 237,783.20

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Solution

The fourth proportional to 277,872.80, 416,809.20 and 237,783.20 is: 356,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,872.80 : 416,809.20 = 237,783.20 : x
  2. Step 2: Convert to fraction form
    277,872.80/416,809.20 = 237,783.20/x
  3. Step 3: Cross multiply
    277,872.80x = 416,809.20 × 237,783.20
  4. Step 4: Simplify right side
    277,872.80x = 99,110,225,365.44
  5. Step 5: Solve for x
    x = 99,110,225,365.44/277,872.80
  6. Step 6: Final answer
    x = 356,674.80

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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.