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Finding the Fourth Proportional to 272,327.20, 407,907.60 and 219,839.20

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Solution

The fourth proportional to 272,327.20, 407,907.60 and 219,839.20 is: 329,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,327.20 : 407,907.60 = 219,839.20 : x
  2. Step 2: Convert to fraction form
    272,327.20/407,907.60 = 219,839.20/x
  3. Step 3: Cross multiply
    272,327.20x = 407,907.60 × 219,839.20
  4. Step 4: Simplify right side
    272,327.20x = 89,674,080,457.92
  5. Step 5: Solve for x
    x = 89,674,080,457.92/272,327.20
  6. Step 6: Final answer
    x = 329,288.01

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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.