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Finding the Fourth Proportional to 297,495.50, 410,502.48 and 174,993.44

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Solution

The fourth proportional to 297,495.50, 410,502.48 and 174,993.44 is: 241,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,495.50 : 410,502.48 = 174,993.44 : x
  2. Step 2: Convert to fraction form
    297,495.50/410,502.48 = 174,993.44/x
  3. Step 3: Cross multiply
    297,495.50x = 410,502.48 × 174,993.44
  4. Step 4: Simplify right side
    297,495.50x = 71,835,239,051.22
  5. Step 5: Solve for x
    x = 71,835,239,051.22/297,495.50
  6. Step 6: Final answer
    x = 241,466.64

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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.