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Finding the Fourth Proportional to 406,532.58, 609,473.25 and 193,193.43

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Solution

The fourth proportional to 406,532.58, 609,473.25 and 193,193.43 is: 289,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,532.58 : 609,473.25 = 193,193.43 : x
  2. Step 2: Convert to fraction form
    406,532.58/609,473.25 = 193,193.43/x
  3. Step 3: Cross multiply
    406,532.58x = 609,473.25 × 193,193.43
  4. Step 4: Simplify right side
    406,532.58x = 117,746,227,660.75
  5. Step 5: Solve for x
    x = 117,746,227,660.75/406,532.58
  6. Step 6: Final answer
    x = 289,635.40

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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.