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Finding the Fourth Proportional to 490,720.38, 677,205.08 and 299,839.02

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Solution

The fourth proportional to 490,720.38, 677,205.08 and 299,839.02 is: 413,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,720.38 : 677,205.08 = 299,839.02 : x
  2. Step 2: Convert to fraction form
    490,720.38/677,205.08 = 299,839.02/x
  3. Step 3: Cross multiply
    490,720.38x = 677,205.08 × 299,839.02
  4. Step 4: Simplify right side
    490,720.38x = 203,052,507,526.22
  5. Step 5: Solve for x
    x = 203,052,507,526.22/490,720.38
  6. Step 6: Final answer
    x = 413,784.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.