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Finding the Fourth Proportional to 306,719.05, 459,705.56 and 164,214.13

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Solution

The fourth proportional to 306,719.05, 459,705.56 and 164,214.13 is: 246,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.05 : 459,705.56 = 164,214.13 : x
  2. Step 2: Convert to fraction form
    306,719.05/459,705.56 = 164,214.13/x
  3. Step 3: Cross multiply
    306,719.05x = 459,705.56 × 164,214.13
  4. Step 4: Simplify right side
    306,719.05x = 75,490,148,591.56
  5. Step 5: Solve for x
    x = 75,490,148,591.56/306,719.05
  6. Step 6: Final answer
    x = 246,121.49

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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.