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Finding the Fourth Proportional to 361,704.60, 542,816.10 and 203,765.40

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Solution

The fourth proportional to 361,704.60, 542,816.10 and 203,765.40 is: 305,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,704.60 : 542,816.10 = 203,765.40 : x
  2. Step 2: Convert to fraction form
    361,704.60/542,816.10 = 203,765.40/x
  3. Step 3: Cross multiply
    361,704.60x = 542,816.10 × 203,765.40
  4. Step 4: Simplify right side
    361,704.60x = 110,607,139,742.94
  5. Step 5: Solve for x
    x = 110,607,139,742.94/361,704.60
  6. Step 6: Final answer
    x = 305,794.12

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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.