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Finding the Fourth Proportional to 320,420.10, 480,630.15 and 83,786.70

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Solution

The fourth proportional to 320,420.10, 480,630.15 and 83,786.70 is: 125,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,420.10 : 480,630.15 = 83,786.70 : x
  2. Step 2: Convert to fraction form
    320,420.10/480,630.15 = 83,786.70/x
  3. Step 3: Cross multiply
    320,420.10x = 480,630.15 × 83,786.70
  4. Step 4: Simplify right side
    320,420.10x = 40,270,414,189.01
  5. Step 5: Solve for x
    x = 40,270,414,189.01/320,420.10
  6. Step 6: Final answer
    x = 125,680.05

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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.