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Finding the Fourth Proportional to 549,002.40, 823,114.80 and 211,912.80

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Solution

The fourth proportional to 549,002.40, 823,114.80 and 211,912.80 is: 317,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,002.40 : 823,114.80 = 211,912.80 : x
  2. Step 2: Convert to fraction form
    549,002.40/823,114.80 = 211,912.80/x
  3. Step 3: Cross multiply
    549,002.40x = 823,114.80 × 211,912.80
  4. Step 4: Simplify right side
    549,002.40x = 174,428,561,989.44
  5. Step 5: Solve for x
    x = 174,428,561,989.44/549,002.40
  6. Step 6: Final answer
    x = 317,719.12

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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.