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Finding the Fourth Proportional to 395,897.40, 593,846.10 and 329,412.60

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Solution

The fourth proportional to 395,897.40, 593,846.10 and 329,412.60 is: 494,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,897.40 : 593,846.10 = 329,412.60 : x
  2. Step 2: Convert to fraction form
    395,897.40/593,846.10 = 329,412.60/x
  3. Step 3: Cross multiply
    395,897.40x = 593,846.10 × 329,412.60
  4. Step 4: Simplify right side
    395,897.40x = 195,620,387,800.86
  5. Step 5: Solve for x
    x = 195,620,387,800.86/395,897.40
  6. Step 6: Final answer
    x = 494,118.90

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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.