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Finding the Fourth Proportional to 399,223.60, 598,835.40 and 132,992.80

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Solution

The fourth proportional to 399,223.60, 598,835.40 and 132,992.80 is: 199,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,223.60 : 598,835.40 = 132,992.80 : x
  2. Step 2: Convert to fraction form
    399,223.60/598,835.40 = 132,992.80/x
  3. Step 3: Cross multiply
    399,223.60x = 598,835.40 × 132,992.80
  4. Step 4: Simplify right side
    399,223.60x = 79,640,796,585.12
  5. Step 5: Solve for x
    x = 79,640,796,585.12/399,223.60
  6. Step 6: Final answer
    x = 199,489.20

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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.