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Finding the Fourth Proportional to 541,332.83, 811,630.19 and 274,578.98

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Solution

The fourth proportional to 541,332.83, 811,630.19 and 274,578.98 is: 411,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,332.83 : 811,630.19 = 274,578.98 : x
  2. Step 2: Convert to fraction form
    541,332.83/811,630.19 = 274,578.98/x
  3. Step 3: Cross multiply
    541,332.83x = 811,630.19 × 274,578.98
  4. Step 4: Simplify right side
    541,332.83x = 222,856,586,335.70
  5. Step 5: Solve for x
    x = 222,856,586,335.70/541,332.83
  6. Step 6: Final answer
    x = 411,681.27

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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.