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Finding the Fourth Proportional to 361,093.12, 498,226.08 and 232,099

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Solution

The fourth proportional to 361,093.12, 498,226.08 and 232,099 is: 320,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,093.12 : 498,226.08 = 232,099 : x
  2. Step 2: Convert to fraction form
    361,093.12/498,226.08 = 232,099/x
  3. Step 3: Cross multiply
    361,093.12x = 498,226.08 × 232,099
  4. Step 4: Simplify right side
    361,093.12x = 115,637,774,941.92
  5. Step 5: Solve for x
    x = 115,637,774,941.92/361,093.12
  6. Step 6: Final answer
    x = 320,243.64

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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.