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Finding the Fourth Proportional to 512,158.34, 706,779.09 and 285,803.78

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Solution

The fourth proportional to 512,158.34, 706,779.09 and 285,803.78 is: 394,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,158.34 : 706,779.09 = 285,803.78 : x
  2. Step 2: Convert to fraction form
    512,158.34/706,779.09 = 285,803.78/x
  3. Step 3: Cross multiply
    512,158.34x = 706,779.09 × 285,803.78
  4. Step 4: Simplify right side
    512,158.34x = 202,000,135,546.96
  5. Step 5: Solve for x
    x = 202,000,135,546.96/512,158.34
  6. Step 6: Final answer
    x = 394,409.54

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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.