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Finding the Fourth Proportional to 334,694.89, 461,764.89 and 213,905.86

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Solution

The fourth proportional to 334,694.89, 461,764.89 and 213,905.86 is: 295,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,694.89 : 461,764.89 = 213,905.86 : x
  2. Step 2: Convert to fraction form
    334,694.89/461,764.89 = 213,905.86/x
  3. Step 3: Cross multiply
    334,694.89x = 461,764.89 × 213,905.86
  4. Step 4: Simplify right side
    334,694.89x = 98,774,217,957.88
  5. Step 5: Solve for x
    x = 98,774,217,957.88/334,694.89
  6. Step 6: Final answer
    x = 295,117.19

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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.