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Finding the Fourth Proportional to 469,750.96, 648,247.82 and 285,922.96

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Solution

The fourth proportional to 469,750.96, 648,247.82 and 285,922.96 is: 394,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,750.96 : 648,247.82 = 285,922.96 : x
  2. Step 2: Convert to fraction form
    469,750.96/648,247.82 = 285,922.96/x
  3. Step 3: Cross multiply
    469,750.96x = 648,247.82 × 285,922.96
  4. Step 4: Simplify right side
    469,750.96x = 185,348,935,507.95
  5. Step 5: Solve for x
    x = 185,348,935,507.95/469,750.96
  6. Step 6: Final answer
    x = 394,568.51

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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.