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Finding the Fourth Proportional to 301,722.52, 416,451.92 and 174,379.72

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Solution

The fourth proportional to 301,722.52, 416,451.92 and 174,379.72 is: 240,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,722.52 : 416,451.92 = 174,379.72 : x
  2. Step 2: Convert to fraction form
    301,722.52/416,451.92 = 174,379.72/x
  3. Step 3: Cross multiply
    301,722.52x = 416,451.92 × 174,379.72
  4. Step 4: Simplify right side
    301,722.52x = 72,620,769,203.06
  5. Step 5: Solve for x
    x = 72,620,769,203.06/301,722.52
  6. Step 6: Final answer
    x = 240,687.27

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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.