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Finding the Fourth Proportional to 361,343.02, 498,887.38 and 232,339.44

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Solution

The fourth proportional to 361,343.02, 498,887.38 and 232,339.44 is: 320,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,343.02 : 498,887.38 = 232,339.44 : x
  2. Step 2: Convert to fraction form
    361,343.02/498,887.38 = 232,339.44/x
  3. Step 3: Cross multiply
    361,343.02x = 498,887.38 × 232,339.44
  4. Step 4: Simplify right side
    361,343.02x = 115,911,214,492.27
  5. Step 5: Solve for x
    x = 115,911,214,492.27/361,343.02
  6. Step 6: Final answer
    x = 320,778.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.