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Finding the Fourth Proportional to 284,446.08, 426,889.44 and 107,114.40

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Solution

The fourth proportional to 284,446.08, 426,889.44 and 107,114.40 is: 160,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,446.08 : 426,889.44 = 107,114.40 : x
  2. Step 2: Convert to fraction form
    284,446.08/426,889.44 = 107,114.40/x
  3. Step 3: Cross multiply
    284,446.08x = 426,889.44 × 107,114.40
  4. Step 4: Simplify right side
    284,446.08x = 45,726,006,231.94
  5. Step 5: Solve for x
    x = 45,726,006,231.94/284,446.08
  6. Step 6: Final answer
    x = 160,754.57

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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.