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Finding the Fourth Proportional to 277,731.80, 416,598.30 and 100,364.07

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Solution

The fourth proportional to 277,731.80, 416,598.30 and 100,364.07 is: 150,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,731.80 : 416,598.30 = 100,364.07 : x
  2. Step 2: Convert to fraction form
    277,731.80/416,598.30 = 100,364.07/x
  3. Step 3: Cross multiply
    277,731.80x = 416,598.30 × 100,364.07
  4. Step 4: Simplify right side
    277,731.80x = 41,811,500,943.08
  5. Step 5: Solve for x
    x = 41,811,500,943.08/277,731.80
  6. Step 6: Final answer
    x = 150,546.32

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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.