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Finding the Fourth Proportional to 682,602.90, 1,023,896.08 and 177,118.89

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Solution

The fourth proportional to 682,602.90, 1,023,896.08 and 177,118.89 is: 265,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,602.90 : 1,023,896.08 = 177,118.89 : x
  2. Step 2: Convert to fraction form
    682,602.90/1,023,896.08 = 177,118.89/x
  3. Step 3: Cross multiply
    682,602.90x = 1,023,896.08 × 177,118.89
  4. Step 4: Simplify right side
    682,602.90x = 181,351,337,164.95
  5. Step 5: Solve for x
    x = 181,351,337,164.95/682,602.90
  6. Step 6: Final answer
    x = 265,676.19

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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.