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Finding the Fourth Proportional to 277,524.86, 382,985.43 and 150,200.42

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Solution

The fourth proportional to 277,524.86, 382,985.43 and 150,200.42 is: 207,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524.86 : 382,985.43 = 150,200.42 : x
  2. Step 2: Convert to fraction form
    277,524.86/382,985.43 = 150,200.42/x
  3. Step 3: Cross multiply
    277,524.86x = 382,985.43 × 150,200.42
  4. Step 4: Simplify right side
    277,524.86x = 57,524,572,439.88
  5. Step 5: Solve for x
    x = 57,524,572,439.88/277,524.86
  6. Step 6: Final answer
    x = 207,277.19

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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.