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Finding the Fourth Proportional to 277,503, 382,955.28 and 150,178.56

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Solution

The fourth proportional to 277,503, 382,955.28 and 150,178.56 is: 207,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,503 : 382,955.28 = 150,178.56 : x
  2. Step 2: Convert to fraction form
    277,503/382,955.28 = 150,178.56/x
  3. Step 3: Cross multiply
    277,503x = 382,955.28 × 150,178.56
  4. Step 4: Simplify right side
    277,503x = 57,511,672,494.80
  5. Step 5: Solve for x
    x = 57,511,672,494.80/277,503
  6. Step 6: Final answer
    x = 207,247.03

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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.