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Finding the Fourth Proportional to 304,058.31, 419,597.73 and 168,095.72

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Solution

The fourth proportional to 304,058.31, 419,597.73 and 168,095.72 is: 231,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,058.31 : 419,597.73 = 168,095.72 : x
  2. Step 2: Convert to fraction form
    304,058.31/419,597.73 = 168,095.72/x
  3. Step 3: Cross multiply
    304,058.31x = 419,597.73 × 168,095.72
  4. Step 4: Simplify right side
    304,058.31x = 70,532,580,436.73
  5. Step 5: Solve for x
    x = 70,532,580,436.73/304,058.31
  6. Step 6: Final answer
    x = 231,970.57

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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.