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Finding the Fourth Proportional to 485,838.40, 728,584.80 and 219,726.40

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Solution

The fourth proportional to 485,838.40, 728,584.80 and 219,726.40 is: 329,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,838.40 : 728,584.80 = 219,726.40 : x
  2. Step 2: Convert to fraction form
    485,838.40/728,584.80 = 219,726.40/x
  3. Step 3: Cross multiply
    485,838.40x = 728,584.80 × 219,726.40
  4. Step 4: Simplify right side
    485,838.40x = 160,089,315,198.72
  5. Step 5: Solve for x
    x = 160,089,315,198.72/485,838.40
  6. Step 6: Final answer
    x = 329,511.45

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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.