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Finding the Fourth Proportional to 294,060.46, 405,848.73 and 166,709.02

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Solution

The fourth proportional to 294,060.46, 405,848.73 and 166,709.02 is: 230,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,060.46 : 405,848.73 = 166,709.02 : x
  2. Step 2: Convert to fraction form
    294,060.46/405,848.73 = 166,709.02/x
  3. Step 3: Cross multiply
    294,060.46x = 405,848.73 × 166,709.02
  4. Step 4: Simplify right side
    294,060.46x = 67,658,644,046.54
  5. Step 5: Solve for x
    x = 67,658,644,046.54/294,060.46
  6. Step 6: Final answer
    x = 230,084.13

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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.