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Finding the Fourth Proportional to 392,645.80, 589,052.40 and 224,246.80

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Solution

The fourth proportional to 392,645.80, 589,052.40 and 224,246.80 is: 336,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,645.80 : 589,052.40 = 224,246.80 : x
  2. Step 2: Convert to fraction form
    392,645.80/589,052.40 = 224,246.80/x
  3. Step 3: Cross multiply
    392,645.80x = 589,052.40 × 224,246.80
  4. Step 4: Simplify right side
    392,645.80x = 132,093,115,732.32
  5. Step 5: Solve for x
    x = 132,093,115,732.32/392,645.80
  6. Step 6: Final answer
    x = 336,418.00

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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.