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Finding the Fourth Proportional to 333,611.40, 499,736.70 and 206,862.60

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Solution

The fourth proportional to 333,611.40, 499,736.70 and 206,862.60 is: 309,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,611.40 : 499,736.70 = 206,862.60 : x
  2. Step 2: Convert to fraction form
    333,611.40/499,736.70 = 206,862.60/x
  3. Step 3: Cross multiply
    333,611.40x = 499,736.70 × 206,862.60
  4. Step 4: Simplify right side
    333,611.40x = 103,376,833,077.42
  5. Step 5: Solve for x
    x = 103,376,833,077.42/333,611.40
  6. Step 6: Final answer
    x = 309,872.00

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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.