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Finding the Fourth Proportional to 293,259.44, 404,698.08 and 165,932.48

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Solution

The fourth proportional to 293,259.44, 404,698.08 and 165,932.48 is: 228,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,259.44 : 404,698.08 = 165,932.48 : x
  2. Step 2: Convert to fraction form
    293,259.44/404,698.08 = 165,932.48/x
  3. Step 3: Cross multiply
    293,259.44x = 404,698.08 × 165,932.48
  4. Step 4: Simplify right side
    293,259.44x = 67,152,556,065.64
  5. Step 5: Solve for x
    x = 67,152,556,065.64/293,259.44
  6. Step 6: Final answer
    x = 228,986.85

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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.