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Finding the Fourth Proportional to 701,030.09, 967,489.82 and 414,642.44

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Solution

The fourth proportional to 701,030.09, 967,489.82 and 414,642.44 is: 572,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,030.09 : 967,489.82 = 414,642.44 : x
  2. Step 2: Convert to fraction form
    701,030.09/967,489.82 = 414,642.44/x
  3. Step 3: Cross multiply
    701,030.09x = 967,489.82 × 414,642.44
  4. Step 4: Simplify right side
    701,030.09x = 401,162,339,639.96
  5. Step 5: Solve for x
    x = 401,162,339,639.96/701,030.09
  6. Step 6: Final answer
    x = 572,246.96

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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.