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Finding the Fourth Proportional to 320,439.70, 480,623.10 and 83,806.30

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Solution

The fourth proportional to 320,439.70, 480,623.10 and 83,806.30 is: 125,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,439.70 : 480,623.10 = 83,806.30 : x
  2. Step 2: Convert to fraction form
    320,439.70/480,623.10 = 83,806.30/x
  3. Step 3: Cross multiply
    320,439.70x = 480,623.10 × 83,806.30
  4. Step 4: Simplify right side
    320,439.70x = 40,279,243,705.53
  5. Step 5: Solve for x
    x = 40,279,243,705.53/320,439.70
  6. Step 6: Final answer
    x = 125,699.92

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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.