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Finding the Fourth Proportional to 277,548.80, 382,914.88 and 182,108.48

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Solution

The fourth proportional to 277,548.80, 382,914.88 and 182,108.48 is: 251,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,548.80 : 382,914.88 = 182,108.48 : x
  2. Step 2: Convert to fraction form
    277,548.80/382,914.88 = 182,108.48/x
  3. Step 3: Cross multiply
    277,548.80x = 382,914.88 × 182,108.48
  4. Step 4: Simplify right side
    277,548.80x = 69,732,046,766.18
  5. Step 5: Solve for x
    x = 69,732,046,766.18/277,548.80
  6. Step 6: Final answer
    x = 251,242.47

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1.5x scale

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.