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Finding the Fourth Proportional to 549,077.87, 823,423.85 and 164,712.12

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Solution

The fourth proportional to 549,077.87, 823,423.85 and 164,712.12 is: 247,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,077.87 : 823,423.85 = 164,712.12 : x
  2. Step 2: Convert to fraction form
    549,077.87/823,423.85 = 164,712.12/x
  3. Step 3: Cross multiply
    549,077.87x = 823,423.85 × 164,712.12
  4. Step 4: Simplify right side
    549,077.87x = 135,627,883,874.94
  5. Step 5: Solve for x
    x = 135,627,883,874.94/549,077.87
  6. Step 6: Final answer
    x = 247,010.29

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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.