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Finding the Fourth Proportional to 410,044.43, 565,358.58 and 337,192.72

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Solution

The fourth proportional to 410,044.43, 565,358.58 and 337,192.72 is: 464,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,044.43 : 565,358.58 = 337,192.72 : x
  2. Step 2: Convert to fraction form
    410,044.43/565,358.58 = 337,192.72/x
  3. Step 3: Cross multiply
    410,044.43x = 565,358.58 × 337,192.72
  4. Step 4: Simplify right side
    410,044.43x = 190,634,797,365.54
  5. Step 5: Solve for x
    x = 190,634,797,365.54/410,044.43
  6. Step 6: Final answer
    x = 464,912.54

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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.