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Finding the Fourth Proportional to 293,798.88, 405,419.58 and 166,494.42

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Solution

The fourth proportional to 293,798.88, 405,419.58 and 166,494.42 is: 229,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,798.88 : 405,419.58 = 166,494.42 : x
  2. Step 2: Convert to fraction form
    293,798.88/405,419.58 = 166,494.42/x
  3. Step 3: Cross multiply
    293,798.88x = 405,419.58 × 166,494.42
  4. Step 4: Simplify right side
    293,798.88x = 67,500,097,828.74
  5. Step 5: Solve for x
    x = 67,500,097,828.74/293,798.88
  6. Step 6: Final answer
    x = 229,749.34

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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.