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Finding the Fourth Proportional to 284,285.44, 391,846.70 and 201,527.63

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Solution

The fourth proportional to 284,285.44, 391,846.70 and 201,527.63 is: 277,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,285.44 : 391,846.70 = 201,527.63 : x
  2. Step 2: Convert to fraction form
    284,285.44/391,846.70 = 201,527.63/x
  3. Step 3: Cross multiply
    284,285.44x = 391,846.70 × 201,527.63
  4. Step 4: Simplify right side
    284,285.44x = 78,967,935,318.91
  5. Step 5: Solve for x
    x = 78,967,935,318.91/284,285.44
  6. Step 6: Final answer
    x = 277,776.93

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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.