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Finding the Fourth Proportional to 274,292.20, 411,827.10 and 169,316.20

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Solution

The fourth proportional to 274,292.20, 411,827.10 and 169,316.20 is: 254,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,292.20 : 411,827.10 = 169,316.20 : x
  2. Step 2: Convert to fraction form
    274,292.20/411,827.10 = 169,316.20/x
  3. Step 3: Cross multiply
    274,292.20x = 411,827.10 × 169,316.20
  4. Step 4: Simplify right side
    274,292.20x = 69,728,999,629.02
  5. Step 5: Solve for x
    x = 69,728,999,629.02/274,292.20
  6. Step 6: Final answer
    x = 254,214.30

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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.