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Finding the Fourth Proportional to 550,335.15, 825,584.74 and 195,319.44

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Solution

The fourth proportional to 550,335.15, 825,584.74 and 195,319.44 is: 293,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,335.15 : 825,584.74 = 195,319.44 : x
  2. Step 2: Convert to fraction form
    550,335.15/825,584.74 = 195,319.44/x
  3. Step 3: Cross multiply
    550,335.15x = 825,584.74 × 195,319.44
  4. Step 4: Simplify right side
    550,335.15x = 161,252,748,601.05
  5. Step 5: Solve for x
    x = 161,252,748,601.05/550,335.15
  6. Step 6: Final answer
    x = 293,008.27

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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.