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Finding the Fourth Proportional to 364,331.20, 546,496.80 and 206,867.20

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Solution

The fourth proportional to 364,331.20, 546,496.80 and 206,867.20 is: 310,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,331.20 : 546,496.80 = 206,867.20 : x
  2. Step 2: Convert to fraction form
    364,331.20/546,496.80 = 206,867.20/x
  3. Step 3: Cross multiply
    364,331.20x = 546,496.80 × 206,867.20
  4. Step 4: Simplify right side
    364,331.20x = 113,052,262,824.96
  5. Step 5: Solve for x
    x = 113,052,262,824.96/364,331.20
  6. Step 6: Final answer
    x = 310,300.80

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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.