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Finding the Fourth Proportional to 277,700.12, 416,216.40 and 127,733.84

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Solution

The fourth proportional to 277,700.12, 416,216.40 and 127,733.84 is: 191,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,700.12 : 416,216.40 = 127,733.84 : x
  2. Step 2: Convert to fraction form
    277,700.12/416,216.40 = 127,733.84/x
  3. Step 3: Cross multiply
    277,700.12x = 416,216.40 × 127,733.84
  4. Step 4: Simplify right side
    277,700.12x = 53,164,919,042.98
  5. Step 5: Solve for x
    x = 53,164,919,042.98/277,700.12
  6. Step 6: Final answer
    x = 191,447.23

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1.5x scale

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.