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Finding the Fourth Proportional to 316,874.26, 437,122.92 and 214,865.20

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Solution

The fourth proportional to 316,874.26, 437,122.92 and 214,865.20 is: 296,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,874.26 : 437,122.92 = 214,865.20 : x
  2. Step 2: Convert to fraction form
    316,874.26/437,122.92 = 214,865.20/x
  3. Step 3: Cross multiply
    316,874.26x = 437,122.92 × 214,865.20
  4. Step 4: Simplify right side
    316,874.26x = 93,922,503,630.38
  5. Step 5: Solve for x
    x = 93,922,503,630.38/316,874.26
  6. Step 6: Final answer
    x = 296,403.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.