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Finding the Fourth Proportional to 274,410.40, 411,874.80 and 169,434.40

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Solution

The fourth proportional to 274,410.40, 411,874.80 and 169,434.40 is: 254,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,410.40 : 411,874.80 = 169,434.40 : x
  2. Step 2: Convert to fraction form
    274,410.40/411,874.80 = 169,434.40/x
  3. Step 3: Cross multiply
    274,410.40x = 411,874.80 × 169,434.40
  4. Step 4: Simplify right side
    274,410.40x = 69,785,759,613.12
  5. Step 5: Solve for x
    x = 69,785,759,613.12/274,410.40
  6. Step 6: Final answer
    x = 254,311.64

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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.