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Finding the Fourth Proportional to 541,334.83, 811,633.19 and 274,580.98

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Solution

The fourth proportional to 541,334.83, 811,633.19 and 274,580.98 is: 411,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,334.83 : 811,633.19 = 274,580.98 : x
  2. Step 2: Convert to fraction form
    541,334.83/811,633.19 = 274,580.98/x
  3. Step 3: Cross multiply
    541,334.83x = 811,633.19 × 274,580.98
  4. Step 4: Simplify right side
    541,334.83x = 222,859,036,710.73
  5. Step 5: Solve for x
    x = 222,859,036,710.73/541,334.83
  6. Step 6: Final answer
    x = 411,684.27

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Why These Related Problems?

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