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Finding the Fourth Proportional to 410,676.20, 616,244.70 and 173,978.60

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Solution

The fourth proportional to 410,676.20, 616,244.70 and 173,978.60 is: 261,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,676.20 : 616,244.70 = 173,978.60 : x
  2. Step 2: Convert to fraction form
    410,676.20/616,244.70 = 173,978.60/x
  3. Step 3: Cross multiply
    410,676.20x = 616,244.70 × 173,978.60
  4. Step 4: Simplify right side
    410,676.20x = 107,213,390,163.42
  5. Step 5: Solve for x
    x = 107,213,390,163.42/410,676.20
  6. Step 6: Final answer
    x = 261,065.51

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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.