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Finding the Fourth Proportional to 413,967, 621,191.45 and 174,063.54

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Solution

The fourth proportional to 413,967, 621,191.45 and 174,063.54 is: 261,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,967 : 621,191.45 = 174,063.54 : x
  2. Step 2: Convert to fraction form
    413,967/621,191.45 = 174,063.54/x
  3. Step 3: Cross multiply
    413,967x = 621,191.45 × 174,063.54
  4. Step 4: Simplify right side
    413,967x = 108,126,782,804.73
  5. Step 5: Solve for x
    x = 108,126,782,804.73/413,967
  6. Step 6: Final answer
    x = 261,196.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.