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Finding the Fourth Proportional to 273,840.90, 410,394.18 and 213,124.49

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Solution

The fourth proportional to 273,840.90, 410,394.18 and 213,124.49 is: 319,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,840.90 : 410,394.18 = 213,124.49 : x
  2. Step 2: Convert to fraction form
    273,840.90/410,394.18 = 213,124.49/x
  3. Step 3: Cross multiply
    273,840.90x = 410,394.18 × 213,124.49
  4. Step 4: Simplify right side
    273,840.90x = 87,465,050,311.47
  5. Step 5: Solve for x
    x = 87,465,050,311.47/273,840.90
  6. Step 6: Final answer
    x = 319,400.97

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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.