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Finding the Fourth Proportional to 589,373.82, 813,434.13 and 347,716.26

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Solution

The fourth proportional to 589,373.82, 813,434.13 and 347,716.26 is: 479,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,373.82 : 813,434.13 = 347,716.26 : x
  2. Step 2: Convert to fraction form
    589,373.82/813,434.13 = 347,716.26/x
  3. Step 3: Cross multiply
    589,373.82x = 813,434.13 × 347,716.26
  4. Step 4: Simplify right side
    589,373.82x = 282,844,273,439.95
  5. Step 5: Solve for x
    x = 282,844,273,439.95/589,373.82
  6. Step 6: Final answer
    x = 479,906.41

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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.