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Finding the Fourth Proportional to 442,858.70, 664,288.05 and 256,234.70

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Solution

The fourth proportional to 442,858.70, 664,288.05 and 256,234.70 is: 384,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,858.70 : 664,288.05 = 256,234.70 : x
  2. Step 2: Convert to fraction form
    442,858.70/664,288.05 = 256,234.70/x
  3. Step 3: Cross multiply
    442,858.70x = 664,288.05 × 256,234.70
  4. Step 4: Simplify right side
    442,858.70x = 170,213,649,205.34
  5. Step 5: Solve for x
    x = 170,213,649,205.34/442,858.70
  6. Step 6: Final answer
    x = 384,352.05

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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.