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Finding the Fourth Proportional to 206,584.40, 310,532.70 and 194,774.60

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Solution

The fourth proportional to 206,584.40, 310,532.70 and 194,774.60 is: 292,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.40 : 310,532.70 = 194,774.60 : x
  2. Step 2: Convert to fraction form
    206,584.40/310,532.70 = 194,774.60/x
  3. Step 3: Cross multiply
    206,584.40x = 310,532.70 × 194,774.60
  4. Step 4: Simplify right side
    206,584.40x = 60,483,882,429.42
  5. Step 5: Solve for x
    x = 60,483,882,429.42/206,584.40
  6. Step 6: Final answer
    x = 292,780.49

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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.