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Finding the Fourth Proportional to 277,640.11, 416,485.58 and 77,959.15

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Solution

The fourth proportional to 277,640.11, 416,485.58 and 77,959.15 is: 116,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,640.11 : 416,485.58 = 77,959.15 : x
  2. Step 2: Convert to fraction form
    277,640.11/416,485.58 = 77,959.15/x
  3. Step 3: Cross multiply
    277,640.11x = 416,485.58 × 77,959.15
  4. Step 4: Simplify right side
    277,640.11x = 32,468,860,373.05
  5. Step 5: Solve for x
    x = 32,468,860,373.05/277,640.11
  6. Step 6: Final answer
    x = 116,945.86

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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.