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Finding the Fourth Proportional to 411,631.36, 617,548.80 and 293,008

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Solution

The fourth proportional to 411,631.36, 617,548.80 and 293,008 is: 439,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,631.36 : 617,548.80 = 293,008 : x
  2. Step 2: Convert to fraction form
    411,631.36/617,548.80 = 293,008/x
  3. Step 3: Cross multiply
    411,631.36x = 617,548.80 × 293,008
  4. Step 4: Simplify right side
    411,631.36x = 180,946,738,790.40
  5. Step 5: Solve for x
    x = 180,946,738,790.40/411,631.36
  6. Step 6: Final answer
    x = 439,584.43

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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.