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Finding the Fourth Proportional to 284,246.44, 392,253.75 and 155,179.96

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Solution

The fourth proportional to 284,246.44, 392,253.75 and 155,179.96 is: 214,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,246.44 : 392,253.75 = 155,179.96 : x
  2. Step 2: Convert to fraction form
    284,246.44/392,253.75 = 155,179.96/x
  3. Step 3: Cross multiply
    284,246.44x = 392,253.75 × 155,179.96
  4. Step 4: Simplify right side
    284,246.44x = 60,869,921,234.85
  5. Step 5: Solve for x
    x = 60,869,921,234.85/284,246.44
  6. Step 6: Final answer
    x = 214,144.89

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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.