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Finding the Fourth Proportional to 586,418.16, 809,260.56 and 331,822.56

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Solution

The fourth proportional to 586,418.16, 809,260.56 and 331,822.56 is: 457,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,418.16 : 809,260.56 = 331,822.56 : x
  2. Step 2: Convert to fraction form
    586,418.16/809,260.56 = 331,822.56/x
  3. Step 3: Cross multiply
    586,418.16x = 809,260.56 × 331,822.56
  4. Step 4: Simplify right side
    586,418.16x = 268,530,910,726.23
  5. Step 5: Solve for x
    x = 268,530,910,726.23/586,418.16
  6. Step 6: Final answer
    x = 457,917.11

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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.