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Finding the Fourth Proportional to 320,455.92, 480,685.50 and 83,799.12

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Solution

The fourth proportional to 320,455.92, 480,685.50 and 83,799.12 is: 125,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,455.92 : 480,685.50 = 83,799.12 : x
  2. Step 2: Convert to fraction form
    320,455.92/480,685.50 = 83,799.12/x
  3. Step 3: Cross multiply
    320,455.92x = 480,685.50 × 83,799.12
  4. Step 4: Simplify right side
    320,455.92x = 40,281,021,896.76
  5. Step 5: Solve for x
    x = 40,281,021,896.76/320,455.92
  6. Step 6: Final answer
    x = 125,699.10

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