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Finding the Fourth Proportional to 391,609.40, 587,414.10 and 233,756.60

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Solution

The fourth proportional to 391,609.40, 587,414.10 and 233,756.60 is: 350,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,609.40 : 587,414.10 = 233,756.60 : x
  2. Step 2: Convert to fraction form
    391,609.40/587,414.10 = 233,756.60/x
  3. Step 3: Cross multiply
    391,609.40x = 587,414.10 × 233,756.60
  4. Step 4: Simplify right side
    391,609.40x = 137,311,922,808.06
  5. Step 5: Solve for x
    x = 137,311,922,808.06/391,609.40
  6. Step 6: Final answer
    x = 350,634.90

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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.