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Finding the Fourth Proportional to 273,842.90, 410,397.18 and 213,126.49

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Solution

The fourth proportional to 273,842.90, 410,397.18 and 213,126.49 is: 319,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,842.90 : 410,397.18 = 213,126.49 : x
  2. Step 2: Convert to fraction form
    273,842.90/410,397.18 = 213,126.49/x
  3. Step 3: Cross multiply
    273,842.90x = 410,397.18 × 213,126.49
  4. Step 4: Simplify right side
    273,842.90x = 87,466,510,479.30
  5. Step 5: Solve for x
    x = 87,466,510,479.30/273,842.90
  6. Step 6: Final answer
    x = 319,403.97

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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.