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Finding the Fourth Proportional to 415,239.60, 621,822.60 and 274,234.80

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Solution

The fourth proportional to 415,239.60, 621,822.60 and 274,234.80 is: 410,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,239.60 : 621,822.60 = 274,234.80 : x
  2. Step 2: Convert to fraction form
    415,239.60/621,822.60 = 274,234.80/x
  3. Step 3: Cross multiply
    415,239.60x = 621,822.60 × 274,234.80
  4. Step 4: Simplify right side
    415,239.60x = 170,525,396,346.48
  5. Step 5: Solve for x
    x = 170,525,396,346.48/415,239.60
  6. Step 6: Final answer
    x = 410,667.47

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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.