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Finding the Fourth Proportional to 306,643.06, 459,809.07 and 140,288.50

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Solution

The fourth proportional to 306,643.06, 459,809.07 and 140,288.50 is: 210,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.06 : 459,809.07 = 140,288.50 : x
  2. Step 2: Convert to fraction form
    306,643.06/459,809.07 = 140,288.50/x
  3. Step 3: Cross multiply
    306,643.06x = 459,809.07 × 140,288.50
  4. Step 4: Simplify right side
    306,643.06x = 64,505,924,716.70
  5. Step 5: Solve for x
    x = 64,505,924,716.70/306,643.06
  6. Step 6: Final answer
    x = 210,361.60

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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.