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Finding the Fourth Proportional to 549,469.20, 823,810.20 and 212,221.20

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Solution

The fourth proportional to 549,469.20, 823,810.20 and 212,221.20 is: 318,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,469.20 : 823,810.20 = 212,221.20 : x
  2. Step 2: Convert to fraction form
    549,469.20/823,810.20 = 212,221.20/x
  3. Step 3: Cross multiply
    549,469.20x = 823,810.20 × 212,221.20
  4. Step 4: Simplify right side
    549,469.20x = 174,829,989,216.24
  5. Step 5: Solve for x
    x = 174,829,989,216.24/549,469.20
  6. Step 6: Final answer
    x = 318,179.78

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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.