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Finding the Fourth Proportional to 274,447.38, 411,670.11 and 180,271.86

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Solution

The fourth proportional to 274,447.38, 411,670.11 and 180,271.86 is: 270,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,447.38 : 411,670.11 = 180,271.86 : x
  2. Step 2: Convert to fraction form
    274,447.38/411,670.11 = 180,271.86/x
  3. Step 3: Cross multiply
    274,447.38x = 411,670.11 × 180,271.86
  4. Step 4: Simplify right side
    274,447.38x = 74,212,536,436.10
  5. Step 5: Solve for x
    x = 74,212,536,436.10/274,447.38
  6. Step 6: Final answer
    x = 270,407.16

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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.