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Finding the Fourth Proportional to 304,652.32, 420,405.25 and 168,682.48

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Solution

The fourth proportional to 304,652.32, 420,405.25 and 168,682.48 is: 232,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,652.32 : 420,405.25 = 168,682.48 : x
  2. Step 2: Convert to fraction form
    304,652.32/420,405.25 = 168,682.48/x
  3. Step 3: Cross multiply
    304,652.32x = 420,405.25 × 168,682.48
  4. Step 4: Simplify right side
    304,652.32x = 70,914,997,229.58
  5. Step 5: Solve for x
    x = 70,914,997,229.58/304,652.32
  6. Step 6: Final answer
    x = 232,773.54

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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.