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Finding the Fourth Proportional to 406,280.20, 609,420.30 and 305,896.90

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Solution

The fourth proportional to 406,280.20, 609,420.30 and 305,896.90 is: 458,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,280.20 : 609,420.30 = 305,896.90 : x
  2. Step 2: Convert to fraction form
    406,280.20/609,420.30 = 305,896.90/x
  3. Step 3: Cross multiply
    406,280.20x = 609,420.30 × 305,896.90
  4. Step 4: Simplify right side
    406,280.20x = 186,419,780,567.07
  5. Step 5: Solve for x
    x = 186,419,780,567.07/406,280.20
  6. Step 6: Final answer
    x = 458,845.35

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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.