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Finding the Fourth Proportional to 410,893.56, 616,340.34 and 111,374.19

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Solution

The fourth proportional to 410,893.56, 616,340.34 and 111,374.19 is: 167,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,893.56 : 616,340.34 = 111,374.19 : x
  2. Step 2: Convert to fraction form
    410,893.56/616,340.34 = 111,374.19/x
  3. Step 3: Cross multiply
    410,893.56x = 616,340.34 × 111,374.19
  4. Step 4: Simplify right side
    410,893.56x = 68,644,406,131.82
  5. Step 5: Solve for x
    x = 68,644,406,131.82/410,893.56
  6. Step 6: Final answer
    x = 167,061.29

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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.