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Finding the Fourth Proportional to 589,970.88, 814,160.16 and 335,322

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Solution

The fourth proportional to 589,970.88, 814,160.16 and 335,322 is: 462,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,970.88 : 814,160.16 = 335,322 : x
  2. Step 2: Convert to fraction form
    589,970.88/814,160.16 = 335,322/x
  3. Step 3: Cross multiply
    589,970.88x = 814,160.16 × 335,322
  4. Step 4: Simplify right side
    589,970.88x = 273,005,813,171.52
  5. Step 5: Solve for x
    x = 273,005,813,171.52/589,970.88
  6. Step 6: Final answer
    x = 462,744.56

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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.