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Finding the Fourth Proportional to 277,796.64, 383,359.20 and 150,471.92

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Solution

The fourth proportional to 277,796.64, 383,359.20 and 150,471.92 is: 207,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,796.64 : 383,359.20 = 150,471.92 : x
  2. Step 2: Convert to fraction form
    277,796.64/383,359.20 = 150,471.92/x
  3. Step 3: Cross multiply
    277,796.64x = 383,359.20 × 150,471.92
  4. Step 4: Simplify right side
    277,796.64x = 57,684,794,873.66
  5. Step 5: Solve for x
    x = 57,684,794,873.66/277,796.64
  6. Step 6: Final answer
    x = 207,651.16

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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.