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Finding the Fourth Proportional to 277,381.50, 382,786.86 and 150,056.79

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Solution

The fourth proportional to 277,381.50, 382,786.86 and 150,056.79 is: 207,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,381.50 : 382,786.86 = 150,056.79 : x
  2. Step 2: Convert to fraction form
    277,381.50/382,786.86 = 150,056.79/x
  3. Step 3: Cross multiply
    277,381.50x = 382,786.86 × 150,056.79
  4. Step 4: Simplify right side
    277,381.50x = 57,439,767,465.78
  5. Step 5: Solve for x
    x = 57,439,767,465.78/277,381.50
  6. Step 6: Final answer
    x = 207,078.58

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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.