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Finding the Fourth Proportional to 344,509.20, 475,864.20 and 264,913.20

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Solution

The fourth proportional to 344,509.20, 475,864.20 and 264,913.20 is: 365,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,509.20 : 475,864.20 = 264,913.20 : x
  2. Step 2: Convert to fraction form
    344,509.20/475,864.20 = 264,913.20/x
  3. Step 3: Cross multiply
    344,509.20x = 475,864.20 × 264,913.20
  4. Step 4: Simplify right side
    344,509.20x = 126,062,707,987.44
  5. Step 5: Solve for x
    x = 126,062,707,987.44/344,509.20
  6. Step 6: Final answer
    x = 365,919.71

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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.