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Finding the Fourth Proportional to 274,141.80, 411,035.10 and 116,327.40

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Solution

The fourth proportional to 274,141.80, 411,035.10 and 116,327.40 is: 174,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,141.80 : 411,035.10 = 116,327.40 : x
  2. Step 2: Convert to fraction form
    274,141.80/411,035.10 = 116,327.40/x
  3. Step 3: Cross multiply
    274,141.80x = 411,035.10 × 116,327.40
  4. Step 4: Simplify right side
    274,141.80x = 47,814,644,491.74
  5. Step 5: Solve for x
    x = 47,814,644,491.74/274,141.80
  6. Step 6: Final answer
    x = 174,415.74

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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.