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Finding the Fourth Proportional to 304,236.34, 419,840.01 and 168,276.02

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Solution

The fourth proportional to 304,236.34, 419,840.01 and 168,276.02 is: 232,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,236.34 : 419,840.01 = 168,276.02 : x
  2. Step 2: Convert to fraction form
    304,236.34/419,840.01 = 168,276.02/x
  3. Step 3: Cross multiply
    304,236.34x = 419,840.01 × 168,276.02
  4. Step 4: Simplify right side
    304,236.34x = 70,649,003,820.36
  5. Step 5: Solve for x
    x = 70,649,003,820.36/304,236.34
  6. Step 6: Final answer
    x = 232,217.51

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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.