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Finding the Fourth Proportional to 353,249.80, 529,874.70 and 314,542.60

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Solution

The fourth proportional to 353,249.80, 529,874.70 and 314,542.60 is: 471,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,249.80 : 529,874.70 = 314,542.60 : x
  2. Step 2: Convert to fraction form
    353,249.80/529,874.70 = 314,542.60/x
  3. Step 3: Cross multiply
    353,249.80x = 529,874.70 × 314,542.60
  4. Step 4: Simplify right side
    353,249.80x = 166,668,165,812.22
  5. Step 5: Solve for x
    x = 166,668,165,812.22/353,249.80
  6. Step 6: Final answer
    x = 471,813.90

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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.