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Finding the Fourth Proportional to 293,762.72, 405,391.56 and 166,462.58

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Solution

The fourth proportional to 293,762.72, 405,391.56 and 166,462.58 is: 229,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,762.72 : 405,391.56 = 166,462.58 : x
  2. Step 2: Convert to fraction form
    293,762.72/405,391.56 = 166,462.58/x
  3. Step 3: Cross multiply
    293,762.72x = 405,391.56 × 166,462.58
  4. Step 4: Simplify right side
    293,762.72x = 67,482,524,987.82
  5. Step 5: Solve for x
    x = 67,482,524,987.82/293,762.72
  6. Step 6: Final answer
    x = 229,717.80

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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.