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Finding the Fourth Proportional to 334,910.81, 462,184.21 and 184,007.81

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Solution

The fourth proportional to 334,910.81, 462,184.21 and 184,007.81 is: 253,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,910.81 : 462,184.21 = 184,007.81 : x
  2. Step 2: Convert to fraction form
    334,910.81/462,184.21 = 184,007.81/x
  3. Step 3: Cross multiply
    334,910.81x = 462,184.21 × 184,007.81
  4. Step 4: Simplify right side
    334,910.81x = 85,045,505,684.15
  5. Step 5: Solve for x
    x = 85,045,505,684.15/334,910.81
  6. Step 6: Final answer
    x = 253,934.79

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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.