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Finding the Fourth Proportional to 503,766.50, 755,944.98 and 361,458.40

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Solution

The fourth proportional to 503,766.50, 755,944.98 and 361,458.40 is: 542,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,766.50 : 755,944.98 = 361,458.40 : x
  2. Step 2: Convert to fraction form
    503,766.50/755,944.98 = 361,458.40/x
  3. Step 3: Cross multiply
    503,766.50x = 755,944.98 × 361,458.40
  4. Step 4: Simplify right side
    503,766.50x = 273,242,662,958.83
  5. Step 5: Solve for x
    x = 273,242,662,958.83/503,766.50
  6. Step 6: Final answer
    x = 542,399.43

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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.