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Finding the Fourth Proportional to 333,610.40, 499,735.20 and 206,861.60

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Solution

The fourth proportional to 333,610.40, 499,735.20 and 206,861.60 is: 309,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,610.40 : 499,735.20 = 206,861.60 : x
  2. Step 2: Convert to fraction form
    333,610.40/499,735.20 = 206,861.60/x
  3. Step 3: Cross multiply
    333,610.40x = 499,735.20 × 206,861.60
  4. Step 4: Simplify right side
    333,610.40x = 103,376,023,048.32
  5. Step 5: Solve for x
    x = 103,376,023,048.32/333,610.40
  6. Step 6: Final answer
    x = 309,870.50

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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.