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Finding the Fourth Proportional to 307,223.40, 460,835.10 and 96,882.60

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Solution

The fourth proportional to 307,223.40, 460,835.10 and 96,882.60 is: 145,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,223.40 : 460,835.10 = 96,882.60 : x
  2. Step 2: Convert to fraction form
    307,223.40/460,835.10 = 96,882.60/x
  3. Step 3: Cross multiply
    307,223.40x = 460,835.10 × 96,882.60
  4. Step 4: Simplify right side
    307,223.40x = 44,646,902,659.26
  5. Step 5: Solve for x
    x = 44,646,902,659.26/307,223.40
  6. Step 6: Final answer
    x = 145,323.90

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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.