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Finding the Fourth Proportional to 307,233.40, 460,914.90 and 96,892.60

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Solution

The fourth proportional to 307,233.40, 460,914.90 and 96,892.60 is: 145,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,233.40 : 460,914.90 = 96,892.60 : x
  2. Step 2: Convert to fraction form
    307,233.40/460,914.90 = 96,892.60/x
  3. Step 3: Cross multiply
    307,233.40x = 460,914.90 × 96,892.60
  4. Step 4: Simplify right side
    307,233.40x = 44,659,243,039.74
  5. Step 5: Solve for x
    x = 44,659,243,039.74/307,233.40
  6. Step 6: Final answer
    x = 145,359.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.