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Finding the Fourth Proportional to 535,705.25, 739,289.43 and 294,003.68

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Solution

The fourth proportional to 535,705.25, 739,289.43 and 294,003.68 is: 405,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,705.25 : 739,289.43 = 294,003.68 : x
  2. Step 2: Convert to fraction form
    535,705.25/739,289.43 = 294,003.68/x
  3. Step 3: Cross multiply
    535,705.25x = 739,289.43 × 294,003.68
  4. Step 4: Simplify right side
    535,705.25x = 217,353,809,308.66
  5. Step 5: Solve for x
    x = 217,353,809,308.66/535,705.25
  6. Step 6: Final answer
    x = 405,733.96

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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.