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Finding the Fourth Proportional to 277,834, 383,411.24 and 150,510.48

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Solution

The fourth proportional to 277,834, 383,411.24 and 150,510.48 is: 207,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,834 : 383,411.24 = 150,510.48 : x
  2. Step 2: Convert to fraction form
    277,834/383,411.24 = 150,510.48/x
  3. Step 3: Cross multiply
    277,834x = 383,411.24 × 150,510.48
  4. Step 4: Simplify right side
    277,834x = 57,707,409,769.80
  5. Step 5: Solve for x
    x = 57,707,409,769.80/277,834
  6. Step 6: Final answer
    x = 207,704.64

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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.