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Finding the Fourth Proportional to 549,089.89, 823,441.85 and 164,724.13

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Solution

The fourth proportional to 549,089.89, 823,441.85 and 164,724.13 is: 247,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,089.89 : 823,441.85 = 164,724.13 : x
  2. Step 2: Convert to fraction form
    549,089.89/823,441.85 = 164,724.13/x
  3. Step 3: Cross multiply
    549,089.89x = 823,441.85 × 164,724.13
  4. Step 4: Simplify right side
    549,089.89x = 135,640,743,170.24
  5. Step 5: Solve for x
    x = 135,640,743,170.24/549,089.89
  6. Step 6: Final answer
    x = 247,028.30

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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.