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Finding the Fourth Proportional to 414,611.34, 621,162.50 and 287,984.04

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Solution

The fourth proportional to 414,611.34, 621,162.50 and 287,984.04 is: 431,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,611.34 : 621,162.50 = 287,984.04 : x
  2. Step 2: Convert to fraction form
    414,611.34/621,162.50 = 287,984.04/x
  3. Step 3: Cross multiply
    414,611.34x = 621,162.50 × 287,984.04
  4. Step 4: Simplify right side
    414,611.34x = 178,884,884,806.58
  5. Step 5: Solve for x
    x = 178,884,884,806.58/414,611.34
  6. Step 6: Final answer
    x = 431,451.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.