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Finding the Fourth Proportional to 410,676.10, 616,100.55 and 173,896.90

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Solution

The fourth proportional to 410,676.10, 616,100.55 and 173,896.90 is: 260,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,676.10 : 616,100.55 = 173,896.90 : x
  2. Step 2: Convert to fraction form
    410,676.10/616,100.55 = 173,896.90/x
  3. Step 3: Cross multiply
    410,676.10x = 616,100.55 × 173,896.90
  4. Step 4: Simplify right side
    410,676.10x = 107,137,975,733.30
  5. Step 5: Solve for x
    x = 107,137,975,733.30/410,676.10
  6. Step 6: Final answer
    x = 260,881.94

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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.