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Finding the Fourth Proportional to 411,490.80, 616,033.35 and 293,392.80

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Solution

The fourth proportional to 411,490.80, 616,033.35 and 293,392.80 is: 439,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,490.80 : 616,033.35 = 293,392.80 : x
  2. Step 2: Convert to fraction form
    411,490.80/616,033.35 = 293,392.80/x
  3. Step 3: Cross multiply
    411,490.80x = 616,033.35 × 293,392.80
  4. Step 4: Simplify right side
    411,490.80x = 180,739,749,449.88
  5. Step 5: Solve for x
    x = 180,739,749,449.88/411,490.80
  6. Step 6: Final answer
    x = 439,231.57

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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.