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Finding the Fourth Proportional to 309,657.35, 464,485.12 and 85,017.99

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Solution

The fourth proportional to 309,657.35, 464,485.12 and 85,017.99 is: 127,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,657.35 : 464,485.12 = 85,017.99 : x
  2. Step 2: Convert to fraction form
    309,657.35/464,485.12 = 85,017.99/x
  3. Step 3: Cross multiply
    309,657.35x = 464,485.12 × 85,017.99
  4. Step 4: Simplify right side
    309,657.35x = 39,489,591,287.31
  5. Step 5: Solve for x
    x = 39,489,591,287.31/309,657.35
  6. Step 6: Final answer
    x = 127,526.74

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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.