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Finding the Fourth Proportional to 406,287.88, 609,535.50 and 257,584.84

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Solution

The fourth proportional to 406,287.88, 609,535.50 and 257,584.84 is: 386,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,287.88 : 609,535.50 = 257,584.84 : x
  2. Step 2: Convert to fraction form
    406,287.88/609,535.50 = 257,584.84/x
  3. Step 3: Cross multiply
    406,287.88x = 609,535.50 × 257,584.84
  4. Step 4: Simplify right side
    406,287.88x = 157,007,104,241.82
  5. Step 5: Solve for x
    x = 157,007,104,241.82/406,287.88
  6. Step 6: Final answer
    x = 386,442.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.