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Finding the Fourth Proportional to 406,331.40, 608,936.58 and 306,381.75

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Solution

The fourth proportional to 406,331.40, 608,936.58 and 306,381.75 is: 459,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,331.40 : 608,936.58 = 306,381.75 : x
  2. Step 2: Convert to fraction form
    406,331.40/608,936.58 = 306,381.75/x
  3. Step 3: Cross multiply
    406,331.40x = 608,936.58 × 306,381.75
  4. Step 4: Simplify right side
    406,331.40x = 186,567,055,019.42
  5. Step 5: Solve for x
    x = 186,567,055,019.42/406,331.40
  6. Step 6: Final answer
    x = 459,149.98

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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.