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Finding the Fourth Proportional to 543,977.28, 814,219.68 and 290,624.64

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Solution

The fourth proportional to 543,977.28, 814,219.68 and 290,624.64 is: 435,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,977.28 : 814,219.68 = 290,624.64 : x
  2. Step 2: Convert to fraction form
    543,977.28/814,219.68 = 290,624.64/x
  3. Step 3: Cross multiply
    543,977.28x = 814,219.68 × 290,624.64
  4. Step 4: Simplify right side
    543,977.28x = 236,632,301,380.92
  5. Step 5: Solve for x
    x = 236,632,301,380.92/543,977.28
  6. Step 6: Final answer
    x = 435,004.02

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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.