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Finding the Fourth Proportional to 392,714.80, 589,072.20 and 363,846.40

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Solution

The fourth proportional to 392,714.80, 589,072.20 and 363,846.40 is: 545,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,714.80 : 589,072.20 = 363,846.40 : x
  2. Step 2: Convert to fraction form
    392,714.80/589,072.20 = 363,846.40/x
  3. Step 3: Cross multiply
    392,714.80x = 589,072.20 × 363,846.40
  4. Step 4: Simplify right side
    392,714.80x = 214,331,799,310.08
  5. Step 5: Solve for x
    x = 214,331,799,310.08/392,714.80
  6. Step 6: Final answer
    x = 545,769.60

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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.