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Finding the Fourth Proportional to 333,614.40, 499,741.20 and 206,865.60

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Solution

The fourth proportional to 333,614.40, 499,741.20 and 206,865.60 is: 309,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,614.40 : 499,741.20 = 206,865.60 : x
  2. Step 2: Convert to fraction form
    333,614.40/499,741.20 = 206,865.60/x
  3. Step 3: Cross multiply
    333,614.40x = 499,741.20 × 206,865.60
  4. Step 4: Simplify right side
    333,614.40x = 103,379,263,182.72
  5. Step 5: Solve for x
    x = 103,379,263,182.72/333,614.40
  6. Step 6: Final answer
    x = 309,876.50

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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.