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Finding the Fourth Proportional to 277,896.64, 383,499.12 and 150,573.16

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Solution

The fourth proportional to 277,896.64, 383,499.12 and 150,573.16 is: 207,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,896.64 : 383,499.12 = 150,573.16 : x
  2. Step 2: Convert to fraction form
    277,896.64/383,499.12 = 150,573.16/x
  3. Step 3: Cross multiply
    277,896.64x = 383,499.12 × 150,573.16
  4. Step 4: Simplify right side
    277,896.64x = 57,744,674,355.62
  5. Step 5: Solve for x
    x = 57,744,674,355.62/277,896.64
  6. Step 6: Final answer
    x = 207,791.91

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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.