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Finding the Fourth Proportional to 284,846.70, 393,091.02 and 157,524.42

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Solution

The fourth proportional to 284,846.70, 393,091.02 and 157,524.42 is: 217,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,846.70 : 393,091.02 = 157,524.42 : x
  2. Step 2: Convert to fraction form
    284,846.70/393,091.02 = 157,524.42/x
  3. Step 3: Cross multiply
    284,846.70x = 393,091.02 × 157,524.42
  4. Step 4: Simplify right side
    284,846.70x = 61,921,434,932.71
  5. Step 5: Solve for x
    x = 61,921,434,932.71/284,846.70
  6. Step 6: Final answer
    x = 217,385.12

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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.