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Finding the Fourth Proportional to 350,092.60, 524,447.70 and 209,433.40

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Solution

The fourth proportional to 350,092.60, 524,447.70 and 209,433.40 is: 313,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,092.60 : 524,447.70 = 209,433.40 : x
  2. Step 2: Convert to fraction form
    350,092.60/524,447.70 = 209,433.40/x
  3. Step 3: Cross multiply
    350,092.60x = 524,447.70 × 209,433.40
  4. Step 4: Simplify right side
    350,092.60x = 109,836,864,933.18
  5. Step 5: Solve for x
    x = 109,836,864,933.18/350,092.60
  6. Step 6: Final answer
    x = 313,736.61

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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.