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Finding the Fourth Proportional to 392,352.58, 589,119.18 and 224,062.84

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Solution

The fourth proportional to 392,352.58, 589,119.18 and 224,062.84 is: 336,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,352.58 : 589,119.18 = 224,062.84 : x
  2. Step 2: Convert to fraction form
    392,352.58/589,119.18 = 224,062.84/x
  3. Step 3: Cross multiply
    392,352.58x = 589,119.18 × 224,062.84
  4. Step 4: Simplify right side
    392,352.58x = 131,999,716,569.27
  5. Step 5: Solve for x
    x = 131,999,716,569.27/392,352.58
  6. Step 6: Final answer
    x = 336,431.37

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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.