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Finding the Fourth Proportional to 284,491.55, 426,800.89 and 107,000.10

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Solution

The fourth proportional to 284,491.55, 426,800.89 and 107,000.10 is: 160,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,491.55 : 426,800.89 = 107,000.10 : x
  2. Step 2: Convert to fraction form
    284,491.55/426,800.89 = 107,000.10/x
  3. Step 3: Cross multiply
    284,491.55x = 426,800.89 × 107,000.10
  4. Step 4: Simplify right side
    284,491.55x = 45,667,737,910.09
  5. Step 5: Solve for x
    x = 45,667,737,910.09/284,491.55
  6. Step 6: Final answer
    x = 160,524.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.