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Finding the Fourth Proportional to 331,458.25, 457,397.61 and 193,649.94

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Solution

The fourth proportional to 331,458.25, 457,397.61 and 193,649.94 is: 267,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,458.25 : 457,397.61 = 193,649.94 : x
  2. Step 2: Convert to fraction form
    331,458.25/457,397.61 = 193,649.94/x
  3. Step 3: Cross multiply
    331,458.25x = 457,397.61 × 193,649.94
  4. Step 4: Simplify right side
    331,458.25x = 88,575,019,551.10
  5. Step 5: Solve for x
    x = 88,575,019,551.10/331,458.25
  6. Step 6: Final answer
    x = 267,228.28

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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.