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Finding the Fourth Proportional to 706,115.67, 974,581.11 and 419,580.33

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Solution

The fourth proportional to 706,115.67, 974,581.11 and 419,580.33 is: 579,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,115.67 : 974,581.11 = 419,580.33 : x
  2. Step 2: Convert to fraction form
    706,115.67/974,581.11 = 419,580.33/x
  3. Step 3: Cross multiply
    706,115.67x = 974,581.11 × 419,580.33
  4. Step 4: Simplify right side
    706,115.67x = 408,915,063,745.57
  5. Step 5: Solve for x
    x = 408,915,063,745.57/706,115.67
  6. Step 6: Final answer
    x = 579,104.93

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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.