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Finding the Fourth Proportional to 469,857.48, 648,309.52 and 285,972.88

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Solution

The fourth proportional to 469,857.48, 648,309.52 and 285,972.88 is: 394,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,857.48 : 648,309.52 = 285,972.88 : x
  2. Step 2: Convert to fraction form
    469,857.48/648,309.52 = 285,972.88/x
  3. Step 3: Cross multiply
    469,857.48x = 648,309.52 × 285,972.88
  4. Step 4: Simplify right side
    469,857.48x = 185,398,940,565.82
  5. Step 5: Solve for x
    x = 185,398,940,565.82/469,857.48
  6. Step 6: Final answer
    x = 394,585.48

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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.