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Finding the Fourth Proportional to 392,746, 589,165.14 and 140,062.41

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Solution

The fourth proportional to 392,746, 589,165.14 and 140,062.41 is: 210,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,746 : 589,165.14 = 140,062.41 : x
  2. Step 2: Convert to fraction form
    392,746/589,165.14 = 140,062.41/x
  3. Step 3: Cross multiply
    392,746x = 589,165.14 × 140,062.41
  4. Step 4: Simplify right side
    392,746x = 82,519,889,396.39
  5. Step 5: Solve for x
    x = 82,519,889,396.39/392,746
  6. Step 6: Final answer
    x = 210,110.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.