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Finding the Fourth Proportional to 277,908.85, 383,472.79 and 157,049.16

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Solution

The fourth proportional to 277,908.85, 383,472.79 and 157,049.16 is: 216,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,908.85 : 383,472.79 = 157,049.16 : x
  2. Step 2: Convert to fraction form
    277,908.85/383,472.79 = 157,049.16/x
  3. Step 3: Cross multiply
    277,908.85x = 383,472.79 × 157,049.16
  4. Step 4: Simplify right side
    277,908.85x = 60,224,079,552.36
  5. Step 5: Solve for x
    x = 60,224,079,552.36/277,908.85
  6. Step 6: Final answer
    x = 216,704.43

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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.