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Finding the Fourth Proportional to 413,194.25, 620,123.52 and 213,573.11

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Solution

The fourth proportional to 413,194.25, 620,123.52 and 213,573.11 is: 320,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,194.25 : 620,123.52 = 213,573.11 : x
  2. Step 2: Convert to fraction form
    413,194.25/620,123.52 = 213,573.11/x
  3. Step 3: Cross multiply
    413,194.25x = 620,123.52 × 213,573.11
  4. Step 4: Simplify right side
    413,194.25x = 132,441,708,750.55
  5. Step 5: Solve for x
    x = 132,441,708,750.55/413,194.25
  6. Step 6: Final answer
    x = 320,531.35

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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.