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Finding the Fourth Proportional to 329,944.82, 455,318.98 and 193,994.06

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Solution

The fourth proportional to 329,944.82, 455,318.98 and 193,994.06 is: 267,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,944.82 : 455,318.98 = 193,994.06 : x
  2. Step 2: Convert to fraction form
    329,944.82/455,318.98 = 193,994.06/x
  3. Step 3: Cross multiply
    329,944.82x = 455,318.98 × 193,994.06
  4. Step 4: Simplify right side
    329,944.82x = 88,329,174,278.69
  5. Step 5: Solve for x
    x = 88,329,174,278.69/329,944.82
  6. Step 6: Final answer
    x = 267,708.93

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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.