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Finding the Fourth Proportional to 334,963.30, 462,244.11 and 184,057.06

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Solution

The fourth proportional to 334,963.30, 462,244.11 and 184,057.06 is: 253,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,963.30 : 462,244.11 = 184,057.06 : x
  2. Step 2: Convert to fraction form
    334,963.30/462,244.11 = 184,057.06/x
  3. Step 3: Cross multiply
    334,963.30x = 462,244.11 × 184,057.06
  4. Step 4: Simplify right side
    334,963.30x = 85,079,291,888.92
  5. Step 5: Solve for x
    x = 85,079,291,888.92/334,963.30
  6. Step 6: Final answer
    x = 253,995.86

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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.