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Finding the Fourth Proportional to 485,728.40, 728,419.80 and 219,616.40

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Solution

The fourth proportional to 485,728.40, 728,419.80 and 219,616.40 is: 329,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,728.40 : 728,419.80 = 219,616.40 : x
  2. Step 2: Convert to fraction form
    485,728.40/728,419.80 = 219,616.40/x
  3. Step 3: Cross multiply
    485,728.40x = 728,419.80 × 219,616.40
  4. Step 4: Simplify right side
    485,728.40x = 159,972,934,164.72
  5. Step 5: Solve for x
    x = 159,972,934,164.72/485,728.40
  6. Step 6: Final answer
    x = 329,346.47

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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.