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Finding the Fourth Proportional to 232,409.40, 348,614.10 and 202,884.90

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Solution

The fourth proportional to 232,409.40, 348,614.10 and 202,884.90 is: 304,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,409.40 : 348,614.10 = 202,884.90 : x
  2. Step 2: Convert to fraction form
    232,409.40/348,614.10 = 202,884.90/x
  3. Step 3: Cross multiply
    232,409.40x = 348,614.10 × 202,884.90
  4. Step 4: Simplify right side
    232,409.40x = 70,728,536,817.09
  5. Step 5: Solve for x
    x = 70,728,536,817.09/232,409.40
  6. Step 6: Final answer
    x = 304,327.35

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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.