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Finding the Fourth Proportional to 469,854.48, 648,305.38 and 285,969.88

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Solution

The fourth proportional to 469,854.48, 648,305.38 and 285,969.88 is: 394,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,854.48 : 648,305.38 = 285,969.88 : x
  2. Step 2: Convert to fraction form
    469,854.48/648,305.38 = 285,969.88/x
  3. Step 3: Cross multiply
    469,854.48x = 648,305.38 × 285,969.88
  4. Step 4: Simplify right side
    469,854.48x = 185,395,811,721.95
  5. Step 5: Solve for x
    x = 185,395,811,721.95/469,854.48
  6. Step 6: Final answer
    x = 394,581.34

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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.