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Finding the Fourth Proportional to 589,395.82, 813,464.50 and 347,738.26

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Solution

The fourth proportional to 589,395.82, 813,464.50 and 347,738.26 is: 479,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,395.82 : 813,464.50 = 347,738.26 : x
  2. Step 2: Convert to fraction form
    589,395.82/813,464.50 = 347,738.26/x
  3. Step 3: Cross multiply
    589,395.82x = 813,464.50 × 347,738.26
  4. Step 4: Simplify right side
    589,395.82x = 282,872,729,801.77
  5. Step 5: Solve for x
    x = 282,872,729,801.77/589,395.82
  6. Step 6: Final answer
    x = 479,936.78

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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.