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Finding the Fourth Proportional to 348,039.40, 522,059.10 and 161,415.40

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Solution

The fourth proportional to 348,039.40, 522,059.10 and 161,415.40 is: 242,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,039.40 : 522,059.10 = 161,415.40 : x
  2. Step 2: Convert to fraction form
    348,039.40/522,059.10 = 161,415.40/x
  3. Step 3: Cross multiply
    348,039.40x = 522,059.10 × 161,415.40
  4. Step 4: Simplify right side
    348,039.40x = 84,268,378,450.14
  5. Step 5: Solve for x
    x = 84,268,378,450.14/348,039.40
  6. Step 6: Final answer
    x = 242,123.10

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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.