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Finding the Fourth Proportional to 701,139.60, 967,770.84 and 414,759.24

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Solution

The fourth proportional to 701,139.60, 967,770.84 and 414,759.24 is: 572,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,139.60 : 967,770.84 = 414,759.24 : x
  2. Step 2: Convert to fraction form
    701,139.60/967,770.84 = 414,759.24/x
  3. Step 3: Cross multiply
    701,139.60x = 967,770.84 × 414,759.24
  4. Step 4: Simplify right side
    701,139.60x = 401,391,898,092.56
  5. Step 5: Solve for x
    x = 401,391,898,092.56/701,139.60
  6. Step 6: Final answer
    x = 572,484.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.