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Finding the Fourth Proportional to 485,800.40, 728,182.20 and 186,165.20

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Solution

The fourth proportional to 485,800.40, 728,182.20 and 186,165.20 is: 279,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,800.40 : 728,182.20 = 186,165.20 : x
  2. Step 2: Convert to fraction form
    485,800.40/728,182.20 = 186,165.20/x
  3. Step 3: Cross multiply
    485,800.40x = 728,182.20 × 186,165.20
  4. Step 4: Simplify right side
    485,800.40x = 135,562,184,899.44
  5. Step 5: Solve for x
    x = 135,562,184,899.44/485,800.40
  6. Step 6: Final answer
    x = 279,049.14

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Why These Related Problems?

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