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Finding the Fourth Proportional to 277,732.17, 416,598.86 and 100,364.45

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Solution

The fourth proportional to 277,732.17, 416,598.86 and 100,364.45 is: 150,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,732.17 : 416,598.86 = 100,364.45 : x
  2. Step 2: Convert to fraction form
    277,732.17/416,598.86 = 100,364.45/x
  3. Step 3: Cross multiply
    277,732.17x = 416,598.86 × 100,364.45
  4. Step 4: Simplify right side
    277,732.17x = 41,811,713,622.44
  5. Step 5: Solve for x
    x = 41,811,713,622.44/277,732.17
  6. Step 6: Final answer
    x = 150,546.89

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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.